Absolute Value Inequalities

Front

What is an absolute value inequality?

Back

An inequality that contains an absolute value expression.

Front

Solve the inequality: | k - 3 | < -1

Back

No Solution

Front

Solve the inequality: |-9v| < 54

Back

-6 < v < 6

Front

Solve the inequality: | x + 3 | > 8

Back

x < -11 or x > 5

Front

Solve the inequality: | n + 2 | - 3 ≥ -6

Back

All Real Numbers

Front

What does |x| represent?

Back

The distance of x from 0 on the number line.

Front

If |x| < a, what can we conclude about x?

Back

-a < x < a.

Front

If |x| > a, what can we conclude about x?

Back

x < -a or x > a.

Front

What is the solution set for |x - 4| < 2?

Back

2 < x < 6.

Front

What is the solution set for |x + 1| > 3?

Back

x < -4 or x > 2.