Question

What is the answer to 4|x-1|=12

Answer 1

(4,0) and (- 2,0): Answer

Explanation:

Absolute value questions have two essential steps.

1. Solve the equation as it is written.

2. Solve it changing the sign of the right hand side. I will include a graph to confirm my answer

4*abs(x - 1) = 12 Divide by 4

• abs(x - 1) = 12/4
• abs(x - 1) = 3 Equate this to 3
• x - 1 = 3 Add 1 to both sides
• x - 1 + 1 = 3 + 1 Combine
• x = 4

4*abs(x - 1) = - 12 Divide by 4

• abs(x - 1) = - 12/4
• abs(x - 1) = - 3
• x - 1 = - 3 Add 1 to both sides
• x - 1 + 1 = -3 + 1
• x = - 2

So this has 2 answers

(4,0) and (- 2,0)