Absolute Value Inequalities

Front

What is an absolute value inequality?

Back

An inequality that contains an absolute value expression.

Front

Solve the inequality: | x + 3 | > 8

Back

x < -11 or x > 5.

Front

Solve the inequality: |-9v| < 54

Back

-6 < v < 6.

Front

Solve the inequality: | 3x - 9 | < 3

Back

2 < x < 4.

Front

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

Back

No Solution.

Front

What does the absolute value represent?

Back

The distance of a number from zero on the number line.

Front

What is the general form of an absolute value inequality?

Back

|expression| < a or |expression| > a, where a is a positive number.

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.