Graphing linear inequalities worksheet with answers pdf

Test your understanding of Linear equations, functions, & graphs with these NaN questions. Start test. This topic covers: - Intercepts of linear equations/functions - Slope of linear equations/functions - Slope-intercept, point-slope, & standard forms - Graphing linear equations/functions - Writing linear equations/functions - Interpreting ...

Graphing linear inequalities worksheet with answers pdf. Lesson 12: Systems of Inequalities Word Problems. The ninth graders are hosting the next school dance. They would like to make at least a $500 profit from selling tickets. The ninth graders estimate that at most 300 students will attend the dance. They will earn $3 for each ticket purchased in advance and $4 for each ticket purchased at the door.

R o 3AwlvlR 1r Si Ogdh WtasW Crge Ns1evruvce nd w.6 X 5M ma cdhe M 6w Ei Jt jh a eIWn7f3iQn ZiGt ne7 tP Fr1eZ-GATlmgIedbtr 0ai. 8 Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name_____ Solving One-Step Inequalities by Adding/Subtracting Date_____ Period____

Linear Inequalities Worksheets. The following printables require children to solve linear equations and graph the solution. You can show the solution region by shading.Edit linear inequalities word problems worksheet with answers pdf form. Rearrange and rotate pages, add new and changed texts, add new objects, and use other useful tools. When you're done, click Done. You can use the Documents tab to merge, split, lock, or unlock your files.inequalities that can be used to represent this situation. The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer. 7 A system of inequalities is graphed on the set of axes below. State the system of inequalities represented by the graph.All points on the left are solutions. Similarly, all points on the right side of the boundary line, the side with (0, 0) and ( − 5, − 15), are not solutions to y > x + 4. See Figure 4.7.4. The graph of the inequality y > x + 4 is shown in Figure 4.7.5 below. The line y = x + 4 divides the plane into two regions.equivalent inequality that is false, such as 3 2, the inequality has no solution. −. −2 −1 0 1 2. Graph of an inequality whose solutions are all real numbers. −2 −1 0 1 2. Graph of an inequality that has no solution. Inequalities with Special Solutions. Solve (a) 8b 3 > 4(2b 3) and (b) 2(5w 1) 7 10w. − + − ≤ +.Solution: Exercise Set 1.7: Interval Notation and Linear Inequalities. 94 University of Houston Department of Mathematics. For each of the following inequalities: (a) Write the inequality algebraically. (b) Graph the inequality on the real number line. (c) Write the inequality in interval notation. 1.xis greater than 5.

A L 1Mda9d keN 6wsi rt 4hw HINnbf Ti7n niPt ie2 uAjlagte 8b 0r4aL Y1e.E Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Compound Inequalities Date_____ Period____ Solve each compound inequality and graph its solution. 1) m or mLinear inequalities graphing worksheet by numbers in secondaryLinear inequalities worksheet with answers — db-excel.com Inequalities worksheet graphing solving step writing grade 6th worksheets inequality two practice answers linear answer key pdf bethany smith absolute.Compound Inequalities Worksheets. Our printable compound inequalities worksheets help grade 8 and high school students make headway through solving and graphing inequalities that are joined together by the words "and" or "or". Compound inequalities with "and" indicate an overlap or intersection and suggest both conditions must be true, while ... Worksheet generator for graphing & slope. Choose at least one problem type below. graph a line (linear equation), given its equation in the form y = mx + b. graph a line (linear equation), given its equation in the normal form (A x + B y + C = 0) graph a line (linear equation), given its slope and one point on it. Till graph a linear inequality, you can make the slope-intercept form (y = mx + b) or the point-slope form (y - y1 = m(x - x1)) to seek to line formula and graph it on a determined of cuts. For nonlinear inequalities, you can how a graphing calculator for find and graph the solution set.©S e2L071 a27 DKJuGt a1 lSHo5fUtCw3aEr 1eS ELrLCx.D K tA 3l fl U PrYiWg1h Pt0s C ErSepsregrcv ze0d C.i 8 HM ya Bd5e u wuibt Ahy eIUnAfJiEnhizt 9e e GAUl0g MejbBr 0a0 a2 T.q Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Absolute Value Inequalities Date_____ Period____

©J O2Y0h1E2 R MKDu6tAaX kS6oSfQtbwdaWrfe Y DLoL bCl. R v wAclRl8 3r uiFgYh1tNs3 jr 5e7sOeVrbv XeId 7.i 1 lM oaKdGe5 Wwei St uhr UIwnofAijn zi7t geC YAQl3goe qbcrmaM v16.S Worksheet by Kuta Software LLC 13) through: (2, −4), slope = −1 x + y = −2 14) through: (2, 5), slope = undefined x = 2 15) through: (3, 1), slope = 1 2 x − 2y = 1R o 3AwlvlR 1r Si Ogdh WtasW Crge Ns1evruvce nd w.6 X 5M ma cdhe M 6w Ei Jt jh a eIWn7f3iQn ZiGt ne7 tP Fr1eZ-GATlmgIedbtr 0ai. 8 Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name_____ Solving One-Step Inequalities by Adding/Subtracting Date_____ Period____Children can download the pdf format of these easily accessible Graphing Inequalities worksheets to practice and solve questions for free. Graphing Inequalities Worksheet - 1. Download PDF. Graphing Inequalities Worksheet - 2. Download PDF. Graphing Inequalities Worksheet - 3. Download PDF. Graphing Inequalities Worksheet - 4.3.4 Graph Linear Inequalities in Two Variables - Intermediate Algebra 2e | OpenStax. Our mission is to improve educational access and learning for everyone. OpenStax is part of Rice University, which is a 501 (c) (3) nonprofit. Give today and help us reach more students.

The villages fl loofah.

Solved Examples on Linear Graph. Example 1: If the equation is y = 2x + 3, the y-intercept is 3, and the slope is 2. Starting from point (0,3) on the y-axis, move two units up for every unit move to the right on the x-axis to plot the graph. Example 2: For the equation y = -1x + 5, the y-intercept is 5, and the slope is -1.Drawing Linear Graphs Video 186 on www.corbettmaths.com Question 5: For each equation, complete the table of values and draw its graph for values of x from −1 to 3. (a) y = −2x + 5 (b) y = −x − 2 (c) y = −2x (d) y = 6 − x Question 6: For each equation, complete the table of values and draw its graph for values of x from −1 to 3.Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. Use the buttons below to print, open, or download the PDF version of the Graph Basic Inequalities on Number Lines (A) math worksheet. The size of the PDF file is 51899 bytes. Preview images of the first and second (if there is one ...R o 3AwlvlR 1r Si Ogdh WtasW Crge Ns1evruvce nd w.6 X 5M ma cdhe M 6w Ei Jt jh a eIWn7f3iQn ZiGt ne7 tP Fr1eZ-GATlmgIedbtr 0ai. 8 Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name_____ Solving One-Step Inequalities by Adding/Subtracting Date_____ Period____ Write and Graph Linear Inequalities Worksheet Level 2: Goals: Write linear inequalities from a number line Graph linear inequalities on a number line Practice #1 Use the number line to help compare each pair of numbers. Insert a < or > into each blank. Practice #2 Concept # _____ Dec 8, 2014 · Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. Use the buttons below to print, open, or download the PDF version of the Graph Basic Inequalities on Number Lines (A) math worksheet. The size of the PDF file is 51899 bytes. Preview images of the first and second (if there is one ...

Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.. You can generate the worksheets either in html or PDF format — both are easy to print. To get the PDF worksheet, simply push the button titled "Create PDF" or "Make PDF worksheet".Tell whether the ordered pair is a solution of the linear inequality. 1. x + y < -4; (0, 0) 2. ... The graph of which inequality is ... 6.7 Practice Worksheet ...Worksheet Practice PACKET. 12. I can use the discriminant to determine the number and type of solutions/zeros. 1. I can identify a function as quadratic given a table, equation, or graph. 2. I can determine the appropriate domain and range of a quadratic equation or event. 3. I can identify the minimum or maximum and zeros of a function with a ...Our free graphing linear inequalities worksheets are a great place to begin practice. Graphing linear equations worksheet with reply key pdf. Answer remedy inequalities worksheet doc graphing inequality has a worth is in values of quadratic features are equal to solve an awful lot of b is at all times had a world.Here's a collection of FREE downloadable PDF Math worksheets for all SAT Math topics. ... Graphing Single-Variable Inequalities . One-Step Inequalities . Two-Step Inequalities ... Graphing Lines Using Standard Form . Writing Linear Equations . Graphing Linear Inequalities . Finding Midpoint . Finding Distance of Two Points . Polynomials ...Graph each inequality below. Then read the two statements under the coordinate grid for that exercise. Circle the letter of the statement that correctly describes the location of the graph. Print this letter in each box at the bottom of the page that contains the exercise number. A All four quadrants; includes boundary line. Quadrants l, Il, IV;Solving Inequalities With Fractions Worksheets. Solving inequalities with fractions worksheets aim at teaching the students how to deal with inequalities in fractions. In mathematics, an inequality is simply a statement that the quantity on one side of the signs of greater , smaller or equal is not equal to the quantity on the other side of the sign.The answer key in these worksheets is ...Step 5. Solve the inequality. Step 6. Check the answer in the problem and make sure it makes sense. We substitute 27 into the inequality. 905 ≤ 500 + 15h 905 ≤ 500 + 15(27) 905 ≤ 905 Step 7. Answer the the question with a complete sentence. the number of hours Brenda must babysit Let h = the number of hours.LINEAR INEQUALITIES SKILLS QUESTIONS . For each of the following, solve for x. Q1. x + 1 ˂ 3 ... ANSWERS Q1. x ˂ 2. Q2. x ≤ 3. Q3. x ˂ 20. Q4. x ˂ -2 . Q5. x ≥ 4. Q6. x ≥ 8. Q7. x ˂ 4½ ... Q17. x ≤ -8 . Q18. x ˂ 2. Q19. x ˂ -⅓. Q20. x ≤ -2 . Title: Linear Inequalities - Skills Questions Worksheet Author: info@xceleratemath ...These worksheets, with answer keys, are equipped with scads of practice for young learners in translating verbal phrases such as "12 more than x is less than 16" or "thrice the sum of 5 and x is at most 22" into algebraic inequalities. ... These pdf translating inequality phrases worksheets are most recommended for learners in grade 6, grade 7 ...

Created Date: 11/3/2016 12:39:43 PM

Learn how to use Open Graph Protocol to get the most engagement out of your Facebook and LinkedIn posts. Blogs Read world-renowned marketing content to help grow your audience Read...graphing linear inequalities in standard form. inequality application problems. 5 pages + answer keys included!Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com. Title. Inequalities and Their Graphs.ks-ipa. Author. Mike. Created Date. 9/11/2012 2:34:05 PM.It primarily includes problems related to the topic of the worksheet, but I also included problems that spiral prior lessons. By purchasing the worksheet, you will receive: · a two-page worksheet in Word and PDF form · an answer key to the worksheet in Word and PDF form. A worksheet for independent practice for students is included. The ...Sketch the graph of each line or linear inequality 5x-3y<-15 12 y=-3x-3 x-4y=0 y=3x-4 . MATH MONKS Graphing Linear Equations and Inequalities Worksheet Answers [2 y ...Determine if the point (0,3) is a solution to this system of inequalities. Justify your answer. 16 On the set of axes below, graph the following system of inequalities: 2x + y ≥ 8. y − 5 < 3x. Determine if the point (1,8) is in the solution set. Explain your answer.3x − 12 = 0. A solution131 to a linear equation is any value that can replace the variable to produce a true statement. The variable in the linear equation 3x − 12 = 0 is x and the solution is x = 4. To verify this, substitute the value 4 in for x and check that you obtain a true statement. 3x − 12 = 0 3(4) − 12 = 0 12 − 12 = 0 0 = 0 .

Webcam banner elk nc.

Can winlevi affect your period.

Two-variable inequalities word problems. Wang Hao wants to spend at most $ 15 on dairy products. Each liter of goat milk costs $ 2.40 , and each liter of cow's milk costs $ 1.20 . Write an inequality that represents the number of liters of goat milk ( G) and cow's milk ( C) Wang Hao can buy on his budget. Learn for free about math, art ...Solving and graphing inequalities practice worksheet by algebra accentsInequalities step two solving graphing worksheets worksheet linear mathworksheets4kids pdf algebra easy inequality graph solve answers equations math number problems Inequalities worksheetsInequalities solve graph worksheet chessmuseum related posts.Figure 2.7.3 shows both the number line and the interval notation. Figure 2.7.3: The inequality x > 3 is graphed on this number line and written in interval notation. The inequality x ≤ 1 means all numbers less than or equal to 1. There is no lower end to those numbers. We write x ≤ 1 in interval notation as (−∞, 1].Created: March 16, 2023. Last updated: June 6, 2023. Graphing systems of inequalities worksheet is a powerful tool for analyzing and understanding relationships between variables. You may choose solving systems of inequalities by graphing worksheet or graphing systems of inequalities worksheet answers. Solving Systems Of Inequalities By ...two variables? A solution of a linear inequality in two variables is an ordered pair (x, y) that makes the inequality true.This page includes printable worksheets on Graphing Linear Inequalities. You can access all of them for free. This versatile worksheets can be timed for speed, or used to review and reinforce skills and concepts. You can create math worksheets as tests, practice assignments or teaching tools to keep your skills fresh.Feb 18, 2021 - Our solving inequalities worksheets are created to help your students in Years 7 to 11 master the concept of inequalities. These easy-to-download PDF …Compound Inequalities Worksheets. Tags: 7th Grade 8th Grade 9th Grade. In all the free printables enlisted in this post, children need to solve inequalities and graph their solutions on the number line. Download PDF.Covid-19 could worsen inequality due to incomes dependent on working from home, reducing the quality of life for millions of people. Over the last decade, emerging market and low-i... ….

Sample spaces and The Counting Principle. Independent and dependent events. Mutualy exclusive events. Permutations. Combinations. Permutations vs combinations. Probability using permutations and combinations. Free Algebra 2 worksheets created with Infinite Algebra 2. Printable in convenient PDF format.Worksheet generator for graphing & slope. Choose at least one problem type below. graph a line (linear equation), given its equation in the form y = mx + b. graph a line (linear equation), given its equation in the normal form (A x + B y + C = 0) graph a line (linear equation), given its slope and one point on it.Get free real-time information on GRT/USD quotes including GRT/USD live chart. Indices Commodities Currencies Stocks56 Chapter 2 Solving Linear Inequalities The graph of an inequality shows the solution set of the inequality on a number line. An open circle, , is used when a number is not a solution. A closed circle, , is used when a number is a solution. An arrow to the left or right shows that the graph continues in that direction.How to Graph a Linear Inequality. Graph the "equals" line, then shade in the correct area. Follow these steps: Rearrange the equation so "y" is on the left and everything else on the right. Plot the " y= " line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>) Shade above the line for a "greater than" ( y> or y≥)Choose 1 answer: Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.SW solve systems of linear and quadratic equations. You can solve systems of linear and quadratic equations graphically and algebraically. This type of system can have: I. Graphing What are the solutions of the system? y = x2 ‐ 4x + 4 y = x ‐ 2 Now, let's try using graphing calculators! y1 = xLinear equations worksheet 9th grade reviewed curatedEquations linear worksheet grade answers questions class two maths solutions variables polynomials important writing Grade 9 linear equations worksheet with answers - thekidsworksheetEquations algebra solving inequalities multiplication algebraic rearranging chessmuseum cazoom cazoommaths ... Graphing linear inequalities worksheet with answers pdf, ANSWERS. 1. 2x < 8. Solve the following inequalities algebraically. Represent your solution on a number line. MATHBYTHEPIXEL.COM. 2. 2. 5y > 15. 3. b - 5 ≤ -16 4. ... solving linear inequalities worksheets One-step inequalities Author: Math By The Pixel Keywords: DAF0GsKLd4I,BAEtxzmfYnQ, ≤ . ≤ . ≤ . ≤ . Created Date: 20200403114507Z', Worksheet by Kuta Software LLC Algebra 2 Graphing Linear Inequalities Name_____ Date_____ Period____ ©H A2n0p1P9W MKGustbad ASCoYfct\wiafrPek WLXLyCE.` t LAYlZlf HrKiYg^h\ttsP TrCehsjeDrEvweAdL.-1-Sketch the graph of each linear inequality. 1) y < 1 2 x + 1 − 2) y > −x − 2 x y 6 6 3) − 6 x 5) − 6 x −6 , Definition: System of Linear Inequalities. Two or more linear inequalities grouped together form a system of linear inequalities. A system of linear inequalities looks like a system of linear equations, but it has inequalities instead of equations. A system of two linear inequalities is shown here. {x + 4y ≥ 10 3x − 2y < 12., 142 Two or more inequalities in one statement joined by the word "and" or by the word "or.". 1.1E: Exercises - Solving Linear Equations and Inequalities is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by LibreTexts. A linear inequality is a mathematical statement that relates a linear expression as either ..., For problems 1 - 6 solve each of the following inequalities. Give the solution in both inequality and interval notations. Here is a set of practice problems to accompany the Linear Inequalities section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University., (6.4.1) - Define solutions to a linear inequality in two variables (6.4.2) - Graphing the solution set to a linear inequality in two variables (6.4.3) - Graph a system of linear inequalities and define the solutions region (6.4.4) - Determine whether a point is a solution to a system of inequalities, Explore a diverse range of Grade 7 Graphing Linear Inequalities's topics, tailored to various grade levels. Our educational resources empower teachers and inspire students to excel academically. Access a wealth of interactive and printable Grade 7 Graphing Linear Inequalities worksheets designed to enhance learning experiences., Graph x > 2 in a coordinate plane. Solution Graph the boundary line x 2. Use a dashed line because x > 2. Test the point (0, 0). Because (0, 0) is a solution of the inequality, shade the half-plane to the right of the line. 3 1 1 3 1 1 x y (0, 0) x > 2 Example 2 Graphing Linear Inequalities in One Variable Graph (a) y < x and (b) 2y 2x ≤ 4 ..., Math Worksheets Name: _____ Date: _____ … So Much More Online! Please visit: EffortlessMath.com One-Step Inequalities Solve each inequality and graph it. 1) T+2 R3 2) T−1 Q2 3) 2 T R12 4) 4+ T Q5 5) T+3 Q−3 6) 4 T R16 7) 9 T Q18 8) T+2 R7 bit.ly/3rrEIgL t, Budgeting is considered a big step toward financial health, but it requires meticulous attention to the amount of money is coming in and going out to meet goals. Sometimes, those h..., Worksheet by Kuta Software LLC Math 9 6.4 Practice - Solving Linear Inequalities ... -4-Worksheet by Kuta Software LLC Answers to 6.4 Practice - Solving Linear Inequalities 1) x 2) x 3) n 4) b ..., Lesson 1- Linear Inequalities in Two Variables and its Graphs; After going through this module, you are expected to: 1. illustrate linear inequalities in two variables; 2. graph linear inequalities in two variables; and. 3. represent real-life situations using linear inequalities in two variables., Graph Worksheets. Organizing data into meaningful graphs is an essential skill. Learn to analyze and display data as bar graphs, pie charts, pictographs, line graphs and line plots. Plot ordered pairs and coordinates, graph inequalities, identify the type of slopes, find the midpoint using the formula, transform shapes by flipping and turning ..., Determine if the point (0,3) is a solution to this system of inequalities. Justify your answer. 16 On the set of axes below, graph the following system of inequalities: 2x + y ≥ 8. y − …, Graphing Linear Function: Type 1 - Level 2. These pdf worksheets provide ample practice in plotting the graph of linear functions. The slopes are represented as fractions in the level 2 worksheets. For the given x-coordinates, find f (x) and complete the function tables. Plot the points and graph the linear function., First estimate the answer, and then use number sense to determine the exact answer. Write your strategy for the solution, and draw the solution set on a number line. Solution search using X-Y graphs: Find the solution set for the inequality X −1<1. Before you start, estimate the solution using number sense., Translating Linear Inequalities OS1 Translate each verbal phrase into an inequality. Printable Math Worksheets @ www.mathworksheets4kids.com 1) The quotient of x and 3 is less than or equal to 5 2) The di!erence between x and 4 is greater than 10, Use a graphing calculator to check your graphs. a. y x>+ 5 b. 1 2 y x≤− + 1 c. yx≥− − 5 6 Communicate Your Answer 4. How can you graph a linear inequality in two variables? 5. Give an example of a real-life situation that can be modeled using a linear inequality in two variables. 3 EXPLORATION: Graphing Linear Inequalities in Two ..., The worksheets given here require students to solve inequalities in the regular way and also on the number line. Some of the questions ask you to find the inequality variables’ values. More Radicals Worksheets Compound Inequalities Worksheets Graphing Inequalities Worksheets Inequality Word Problems Worksheets Systems of Inequalities Worksheets Solving Equations and Inequalities Worksheets ..., Title: graph-l1-1.pdf Author: ADMIN Created Date: 11/17/2023 11:13:17 AM, Lesson 1- Linear Inequalities in Two Variables and its Graphs; After going through this module, you are expected to: 1. illustrate linear inequalities in two variables; 2. graph linear inequalities in two variables; and. 3. represent real-life situations using linear inequalities in two variables., Section 5.6 Graphing Linear Inequalities in Two Variables 269 Graphing a Linear Inequality in One Variable Graph y ≤ 2 in a coordinate plane. SOLUTION Step 1 Graph y = 2. Use a solid line because the x y 1 3 −1 2 4 (0, 0) inequality symbol is ≤. Step 2 Test (0, 0). y ≤ 2 Write the inequality. 0 ≤ 2 Substitute., Graphing and Systems of Equations Packet 1 Intro. To Graphing Linear Equations The Coordinate Plane A. The coordinate plane has 4 quadrants. B. Each point in the coordinate plain has an x-coordinate (the abscissa) and a y-coordinate (the ordinate). The point is stated as an ordered pair (x,y). C. Horizontal Axis is the X - Axis. (y = 0), The worksheets given here require students to solve inequalities in the regular way and also on the number line. Some of the questions ask you to find the inequality variables’ values. More Radicals Worksheets Compound Inequalities Worksheets Graphing Inequalities Worksheets Inequality Word Problems Worksheets Systems of Inequalities Worksheets Solving Equations and Inequalities Worksheets ..., Inequalities In Algebra • mathantics.com Solving & Graphing Linear Inequalities Instructions: Solve each inequality for y and then graph it on the coordinate plane., Graphing a Linear Inequality Notes Objective: Determine the solution to a system of linear inequalities by graphing. You try: Graph: 2 +4 <8 Graph: R2 −5 the x y Step 1: Put the inequality in slope-intercept form Step 2: Graph the inequality (dashed or solid?) Step 3: Figure out where to shade by picking a test point., 7 Dec 2023 ... Graphing Linear Inequalities Worksheet Answer Key. 79 views · 4 months ago ...more. Try YouTube Kids. An app made just for kids., What are Linear inequalities? In maths, linear inequalities are the equations in which both sides of the equation are separated by the inequality symbol, such as <, >, ≤ and ≥. That means LHS and RHS are not equal. For example, 2x - 4 < 12, x - y > 7, 3x - 4 ≤ 0, and so on. Also, check: Linear inequalities. Linear Inequalities ..., Sal graphs the solution set of the system "y≥2x+ ... inequalities without graphing ... A good place to start is just to graph the solution sets for each of these ..., Math Worksheets Name: _____ Date: _____ … So Much More Online! Please visit: www.EffortlessMath.com One–Step Inequalities Solve inequalities. 1) + z R s z 2) − s< u 3) + s u< { 4) − t Q v 5) + z>− v 6) s y+𝑘 Q s r 7) + s u R w 8) − s t< s s 9) − w Q z 10) − s R t 11) { > − w v 12) v Q s t, 12] x is at least 10 and at most 22 Inequality notation: Interval notation: sketch: bounded or unbounded? 13] x is more than 65 Inequality notation: Interval notation: sketch: bounded or unbounded?, 13 Graphs, Equations and Inequalities 13.1 Linear Inequalities In this section we look at how to solve linear inequalities and illustrate their solutions using a number line. When using a number line, a small solid circle is used for ≤ or ≥ and a hollow circle is used for > or <. For example, x ≥5 –10123456