Absolute Value One Variable

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5

• x = 0 and x = -5

• x = 10 and x = -10

• No Solution

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0

• x = 3 and x = -3

• x = -12 and x = 0

• No Solution

|8 - 4x| = 16

• x = -2, x = -6

• x = 2 , x = 24

• x = -2, x = 6

• No Solution

8|-2x + 4| = 96

• x = -4, x = 8

• x = -4

• x = -4, x = -8

• x = 4, x = 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

Solve the absolute value inequality: |2x - 3| < 5

• -2 < x < 4

• -1 < x < 3

• -1 < x < 5

• -1 < x < 4

Solve the following inequality:

|3x + 6| ≥ 15

• x ≥ 3 or x ≤ −3

• x ≤ 7 and x ≤ −3

• x ≥ 7 and x ≤ −7

• x ≤ −7 or x ≥ 3

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

| -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