Ch 6.2 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.

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

Solve and graph the inequalities. 1) 2) 0 5 -6 0 6

For what values of x is the statement true? x = 3 x = 2 x = 1 x = 0 Inequalities transform like equations except... For what values of x is the statement true? x = 3 x = 2 x = 1 x = 0 flip x = -1 x = -2 we know ...

Inequalities transform like equations except... When multiplying or dividing by a negative number you must reverse (flip) the inequality. -4 -3 -2 -1 0 1 2 3 4 Negative side Positive side Large is small Large is large flip

Solve and graph the inequalities. 1) 2) -6 0 -21 0

Solve and graph the inequalities. 3) 4) -6 0 -12 0