Multi-Step & Compound Inequalities

3. 3x - 15 > 4 + 5x

Multi-Step Inequalities

1. 3x -2(6x - 4) > 4 - (4x + 6)

1. 3x -12x + 8 > -2 - 4x; -5x > -10; x < 2

2. 6x - 4 < 2x + 12

2. 4x < 16 x < 4

3. -2x > 19; x < - 19/2; x < - 9 1/2

4.

Class Work:See Handout

Compound Inequalities

If a compound inequality uses 'and', both inequalities

must be true. The solution set is the intersection of the

two inequalities.

1. Graph the solutions set of x < 2 and x > -1

The solution set is therefore: { x| -1 < x < 2}