Question

|x - 7| - 7 = -3
x =??

Answer 1

Break it up into two cases:

Case 1: \(|x-7|\) is positive:
\[
(x - 7) - 7 = -3
\]
Case 2: \(|x-7|\) is negative:
\[
-(x - 7) - 7 = -3
\]

Solve for each case. They're both correct answer.

Answer 2

In general, you can save yourself repetition by isolating the part in the absolute value bars before breaking it up into cases.

Answer 3

Thank you!!!