Absolute Value Equations and Inequalities

Front

What is the definition of absolute value?

Back

The exact distance a number is from zero.

Front

Solve the inequality: |x + 5| < 9

Back

-14 < x < 4

Front

What is the correct way to express the solution x < -8 or x > -6?

Back

x < -8 OR x > -6

Front

Solve the inequality: |m| + 5 < 9

Back

-4 < m < 4

Front

Which solution set corresponds to the graph showing -6 < x < 5?

Back

-6 < x < 5

Front

What does the expression |x| represent?

Back

The distance of x from 0 on the number line.

Front

How do you solve an absolute value equation like |x| = a?

Back

Set up two equations: x = a and x = -a.

Front

What is the solution to the inequality |x - 3| > 2?

Back

x < 1 or x > 5.

Front

What is the graphical representation of |x| < a?

Back

A segment on the number line from -a to a.

Front

How do you express the solution to |x| ≤ 4?

Back

-4 ≤ x ≤ 4.