1.5 Solving 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: | x + 3 | ≤ 2

Back

-5 ≤ x ≤ -1.

Front

Solve the inequality: | 3c - 5 | < -2

Back

No Solution.

Front

Solve the inequality: | x + 1 | ≥ 3

Back

x ≤ -4 or x ≥ 2.

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| inequality value.

Front

How many solutions can an absolute value inequality have?

Back

It can have two solutions, one solution, or no solution.

Front

What is the solution set for |x| < a where a > 0?

Back

-a < x < a.

Front

What is the solution set for |x| > a where a > 0?

Back

x < -a or x > a.