Algebra Demystified 2nd Ed

314 algebra De mystif ieD

✔SOLUTIONS

1. x > 4

FIgure 9-9

4

2. x > –5

FIgure 9-10

–5

3. x ≤ 1

FIgure 9-11

1

4. x < –3

FIgure 9-12

–3

5. x ≥ 10

FIgure 9-13

10

Solving Linear Inequalities

Linear inequalities are solved much the same way as linear equations are solved,

with one important exception. When multiplying or dividing both sides of an

inequality by a negative number, the inequality sign must be reversed. For

example 2 < 3 but ->- 23. Adding and subtracting the same quantity to both

sides of an inequality never changes the direction of the inequality sign.