Ch 2.1 (part 2) One Step Inequalities (Multiplication) Objective: To solve and graph simple inequalities involving multiplication and division.

Definitions Multiplication Property of Inequality: When multiplying by a negative number, the inequality symbol reverses. In other words, “FLIP” the inequality sign Division Property of Inequality: When dividing by a negative number, the inequality symbol reverses. In other words, “FLIP” the inequality sign

flip Inequalities transform like equations except... When multiplying or dividing by a negative number you must reverse (flip) the inequality Positive side Negative side Large is largeLarge is small Rules -3 < -23 > 2 (-1) -3 -2<

Why? Example using Multiplication/Division: -x < 1 x > -1(The inequality “flipped”) Same example using Addition/Subtraction: - x < 1 + x 0 < 1 + x - 1 < -1

Example 1 Example 3 Example 2 Example x 5 ≤ (3) x -6 > (-3) y -21 ≤ x -6 >

Example 5 Example 6 Example 7 Example (-2) < x -6 x -2 ≥ m -12 > (8) -13 n < n >

1)2) Graph the following inequalities. 3) 4) Classwork

5) 6) 7) 8) k < 8