1. Ch 6.2
Objective:
To solve and graph simple inequalities involving multiplication and division.

2. 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.

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

4. Solve and graph the inequalities.1) 2)

5. 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 ...

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

7. Solve and graph the inequalities.1) 2)

8. Solve and graph the inequalities.3) 4)