Wednesday, October 27 Objective: Students will identify solutions of inequalities and write inequalities. Today’s Agenda: 1.No homework due today. 2.Fill in planner with today’s assignment (Practice 3-1) 3.Bell work Make a stem and leaf plot and find the mean, median, mode, and range of your Chapter 2 test scores: 103, 94, 96, 81, 73, 92, 74, 101, 60, 98, 83, 80, 81, 82, 99

Inequalities and their Graphs What is an Inequality? An inequality is a statement that two expressions are not equal

Vocabulary A _______________________ of an inequality is any number that makes the inequality true. solution

Identifying Solutions of an Inequality Are each of these a solution to x>5? a. 7 b. -1 c. 0.5 Yes; 7>5 is true No; -1>5 is not true No; 0.5 > 5 is not true

Identifying Solutions of an Inequality by Evaluating Is each number a solution of the inequality? 3 Substitute the value for x Simplify Compare 3 does not make the equation true, so 3 is not a solution.

Identifying Solutions of an Inequality by Evaluating Is each number a solution of the inequality? b) -4 Substitute the value for x Simplify Compare -4 does not make the equation true, so - 4 is a solution.

Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly Notice open circles < less than > greater than

Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly Notice colored in circles ≤ less than or equal to ≥ greater than or equal to

Inequalities and their Graphs Example 1 3 Notice: when variable is on left side, sign shows direction of solution

Inequalities and their Graphs Example 2 7 Notice: when variable is on left side, sign shows direction of solution

Inequalities and their Graphs Example 3 -2 Notice: when variable is on left side, sign shows direction of solution Color in circle

Inequalities and their Graphs Example 4 8 Notice: when variable is on left side, sign shows direction of solution Color in circle