Absolute Value Inequalities

|x| < 3

Which is a correct description of x?

• The distance from 0 to x

  is less than 3 units

• The distance from 0 to x

  is greater than 3 units

|x| > 6

Which is a correct description of x?

• The distance from 0 to x

  is less than 6 units

• The distance from 0 to x

  is greater than 6 units

Select the correct absolute value inequality.

• |x| < 4

• |x| > 4

Select the correct absolute value inequality.

• |x| < 2

• |x| > 2

Select the correct absolute value inequality.

• |x| ≤ 10

• |x| ≥ 10

Select the correct absolute value inequality.

• |x| < 7

• |x| > 7

• |x| ≤ 7

• |x| ≥ 7

Select the correct absolute value inequality.

• |x| < 6

• |x| > 6

• |x| ≤ 6

• |x| ≥ 6

Select the correct absolute value inequality.

• |x| < 8

• |x| > 8

• |x| ≤ 8

• |x| ≥ 8

Match each graph to the correct absolute value inequality.

• |x| ≤ 4

• 
• |x| ≥ 4

• 
• |x| < 4

• 
• |x| > 4

• 

Solve.

|x + 4| < 5

• x < -9 or x > 1

• -9 < x < 1