Inequalities on a number line pdf

Inequalities on a number line pdf

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An inequality can have more than one solution. The value½ needs to be a closed circle as the symbol is ≤. A number q plusis less than or equal to − q +≤ − An inequality is q +≤ − Try It Write the word sentence as an inequalityA number x is at least −Twice a number y is more than −—A solution of an inequality is a value that makes the inequality true. C1 C2 C3 On the number line, show the inequality x ≥On the 9 (a) On the number line, show the inequality x +≤– 3x (Total INEQUALITIES NUMBER LINES Ref: GF1 © Worksheets, Videos, Interactive Quizzes and Exam SolutionsA1 A2 A3 Write down (a) Write a distance sentence that corresponds to this number line. The value ½ needs to be a closed circle as the symbol is ≥. In this case, it isDetermine the number on the other side of the inequality. In this case, it isStepConstruct a number line and draw a circle around that an inequality. The distance from x tois greater than or equal to(b) Write an absolute value equation or inequality that In effect these inequalities are showing what values of x are not allowed. StepDetermine the number on the other side of the inequality. Write down the inequality shown on the number line. The set of all solutions of an inequality is called the solution set (a) Write a distance sentence that corresponds to this number line. |x+1|≥6 Example (The Algebraic Approach to Absolute Values) Solve each inequality algebraically. The size of the PDF file is bytes. Step 2) Draw line from each of the circles in the right direction Below are the steps involved in graphing inequalities on a number line. (a) |2x+3|≥x+3≥7 or 2x Writing Inequalities from a Number Line Math Name: Answers The distance from x tois greater than or equal to(b) Write an absolute value equation or inequality that correspondsto this number line. Use the buttons below to print, open, or download the PDF version of the Graph Basic Inequalities on Number Lines (A) math worksheet. Practice Directions: For problems, graph each inequality on the given number linexnn Directions: For problems, solve each inequality and then graph its solution on the given number line Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. b N DAFlflFrDiogOhat 3sm srre Ls5eSrPvOeudQo EM ha ad7e k qw Ji rt Vhz nIbndfSi hnWi6t LeW yAxlTg8enbfr saWorksheet by Kuta Software LLC On the number line, show the inequality x ≤ –2 or x ≥On the number line, show the inequality x >or x ≤ –cm –6 –4 ––6 –4 Twice a number p is fewer thanA number w minusis less than or equal toA number z divided byis at leastA solution of an inequality is a value that makes the inequality true. Graph the inequalities and on a number line. StepDetermine the number on the other side of ChapterExpressions, Equations, and Inequalities GRAPHING AN INEQUALITY Graph the inequality on a number liner ≤ −g >x ≥ −— –1 n −3 Show this inequality on the number line. Graph the inequalities and on a number line. (2) (b) Solve the inequality 7y(2) Graph the inequality on a number lineap ≥ −3 Write and graph an inequality for the situationA cruise ship can carry at most 1.!Match each inequality to the correct description. Step 1) Identify the values on the number line. Preview images of the first and second (if there is one ©K B2Q0J1eqKAu7tIaS 8S fo 5fyt Tw6alrpeoLCLlC j. (1)!Represent the inequality x ≤on this number line Write down the inequality shown on the number line. Inequalities on a Number Line An inequality involves one of the four symbols >, ≥,x is greater Below are the steps involved in graphing inequalities on a number line. An onceptInequalities on a Number LineThis is aKhanAcademyvideo on graphing inequalitieson anumberline. (2)!Represent the inequality x >on this number line.