Absolute Value Equations and Inequalities

Front

Solve: |x + 3| > 8

Back

x > 5 or x < -11

Front

True or False: Is x = 4 a solution to |x + 5| = -9?

Back

False

Front

Solve: |x + 3| > -8

Back

all real numbers

Front

Define absolute value.

Back

The distance of a number from zero.

Front

Solve: 3|d - 4| ≥ 12

Back

d ≥ 8 or d ≤ 0

Front

What is the absolute value of -7?

Back

7

Front

Solve: |x - 2| = 5

Back

x = 7 or x = -3

Front

What does |x| < a mean?

Back

x is between -a and a.

Front

Solve: |2x + 1| < 3

Back

-2 < x < 1

Front

What is the graphical representation of |x|?

Back

A V-shape opening upwards on the coordinate plane.