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3.1E Inequalities and Their Graphs.notebook November 13, 2015 3.1 Inequalities and Their Graphs Objective: Be able to write, graph and identify solutions of inequalities Symbol Words Graph Sep 29­11:28 AM Translate each word phrase. 1. All real numbers greater than or equal to 1.5 2. The sum of t and 7 is less than -3 3. All real numbers that are less than or equal to 5. 4. 4 less than a number y is greater than 10. Sep 29­11:34 AM 1 3.1E Inequalities and Their Graphs.notebook November 13, 2015 A solution to an inequality is any number that makes the inequality true. Consider the numbers ­1, 0, 1, 3. Which are solutions to the inequality: Sep 29­11:36 AM Check and see if each of the numbers are a solution to the inequality: A.) 4 B.) ­3 Sep 29­11:41 AM 2 3.1E Inequalities and Their Graphs.notebook November 13, 2015 To graph the solution to an inequality use a number­line. Shade all numbers that make the inequality true. What is the graph for each inequality: ­10 ­10 ­9 ­9 ­8 ­7 ­8 ­7 ­10 ­9 ­6 ­6 ­5 ­4 ­5 ­4 ­8 ­7 ­6 ­2 ­3 ­3 ­2 ­5 ­4 ­1 ­1 ­3 0 0 ­2 1 2 1 ­1 2 0 3 3 1 4 4 2 5 5 3 6 6 4 7 7 5 8 8 6 9 9 7 10 10 8 9 10 Sep 29­11:44 AM What inequality represents each Graph? Sep 29­11:46 AM 3 3.1E Inequalities and Their Graphs.notebook November 13, 2015 Homework: Practice 3.1 Evens only Sep 29­11:50 AM 4