Absolute Value Inequalities

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• and

• or

What kind of compound inequality is this?

• AND compound inequality

• OR compound inequality

Solve for r.

• r ≥ -38 and r ≤ 32

• r > -38 and r < 32

• r ≥ -38 or r ≤ 32

• r > -38 or r < 32

Solve.
-5|x - 4| > -20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

What is the correct first step?

• divide by 10

• multiply by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and"

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D

Which compound inequality represents the graph?

• m < -1 OR m > 2

• -1 < m < 2

• m > -1 OR m < 2

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and"

• separate into two inequalities with an "or"

• divide both sides by -8

• add 8 to both sides