Question

Select the correct answer. Solve the following equation. |x − 12| + 6 = 56 A. x = 62 or x = -38 B. x = 74 or x = -74 C. x = 38 or x = -62 D. x = 50 or x = -50

Answer 1

ABSOLUTE VALUE EQUATIONS

`\mathbb{ANSWER:}`

`\sf |x-12|+6=56`

`\sf |x-12|+6-6=56 - 6`

`\sf |x-12|=50`

`\sf x-12=50 \ \ \ \ \ or \ \ \ \ \ x-12= -50\\ \sf x=\boxed{\sf 62} \ \ \ \ \ or \ \ \ \ \ x=\boxed{\sf -38}`

∵ The answer is A. x = 62 or x = -38