Absolute Value Inequalities

Front

What is an absolute value inequality?

Back

An inequality that contains an absolute value expression.

Front

Solve the inequality: 3 | d + 1 | - 7 ≥ -1

Back

d ≤ -3 or d ≥ 1.

Front

Solve the inequality: | x + 1 | ≥ 3

Back

x ≤ -4 or x ≥ 2.

Front

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

Back

2 < x < 4.

Front

Solve the inequality: | x + 3 | > 8

Back

x < -11 or x > 5.

Front

What does |x| represent?

Back

The distance of x from 0 on the number line.

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.

Front

How do you graph the solution of |x| < a?

Back

Draw an open interval between -a and a on the number line.

Front

How do you graph the solution of |x| > a?

Back

Draw two rays extending from -a and a on the number line.