Absolute Value Inequality Review

Solve: |x+5| < 9

• -14 < x < 4

• x > -14 or x < 4

• -4 < x < 4

• x > -4 or x < 14

Solve |x| + 7 > 16

• -9 < x < 9

• x > 9 or x < -9

• x > 9 or x < -9

• -9 ≤ x < 9

Solve 4|x - 1| < 24

• -7 < x < 7

• -5 < x < 7

• x < -5 or x > 7

• -5 < x < 5

Solve |x - 4|- 3 < 5

• -12 < x < 12

• No solution

• -4 < x < 12

• x > -4 or x < 12

|x+2| > 3

Please answer in interval notation

• (-Infinity,1)

• (-5,-1)

• (-4,4)

• (-infinity, -5)(1, infinity)

| -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

What is the first step in solving

|x + 4| - 8 > 2

• Subtract 2 on both sides

• Set up two inequalities

• Divide 8 on both sides

• Add 8 on both sides

What is the first step in solving

|5x + 7| < 22

• Subtract 7 on both sides

• Divide 5 on both sides

• Set up two inequalities

• Set up one inequality

Describe the first step in solving the absolute value inequality

• Add 5 on both sides

• Divide both sides by -5

• Set up two inequalities

• no solution

|x| > 7 Is this an "and" or an "or"?

• And

• Or