1. EXAMPLE 1
Solve absolute value inequalities
Solve the inequality. Graph your solution.
|x|  6 a.
SOLUTION a.
The distance between x and 0 is greater than or equal to 6. So, x  –6 or x  6.
ANSWER
The solutions are all real numbers less than or equal to –6 or greater than or equal to 6.

2. EXAMPLE 1
Solve absolute value inequalities
Solve the inequality. Graph your solution. b.
x  0.5
SOLUTION
The distance between x and 0 is less than or equal to 0.5. So, –0.5 ≤ x ≤ 0.5.
ANSWER
The solutions are all real numbers greater than or equal to –0.5 and less than or equal to 0.5.

3. EXAMPLE 4
GUIDED PRACTICE
Find a base using the percent equation
for Example 1
Solve the inequality. Graph your solution.
|x|  8
–8  x  8
ANSWER

4. EXAMPLE 4
GUIDED PRACTICE
Find a base using the percent equation
for Example 1
Solve the inequality. Graph your solution.
|u| < 3.5
–3.5 < u < 3.5
ANSWER

5. EXAMPLE 4
GUIDED PRACTICE
Find a base using the percent equation
for Example 1
Solve the inequality. Graph your solution.
3. v > 2 3 2 3
v < – or v >
ANSWER