Intro to Absolute Value Equations

Solve for x
l 5x l = 40

• x = 8 and x =-8
• x = 35 and x = -35
• Only x = 8
• No Solution

| x - 5 | = 3

• x = 2, x= -2

• x = -3, x = 3

• x= 2, x = 8

• No solution

| -2x +7| = 25

• x = 32, x = -32

• x = -9, x = 16

• x = 18, x = -32

• No solution

| -6x + 3|= 27

• x = -4, x=5

• x = 24, x = -30

• x = -3, x = -6

• No solution

Solve  | 2x - 1 | = -4

• x = ¹/₂ and x = -4
• No Solution
• x = ^-3/₂ and x = ⁵/₂
• x = ³/₂ and x = ^-5/₂