Question

Solve the absolute value equation.
|x| = 36

A. {36, 36}
B. {–36, 36}
C. {–36, –36}
D. no solution

Answer 1

B. Its the only logical answer, since you can't have the same answer in a set like that.

Answer 2

|-36| = 36

|36| = 36

Answer 3

\(\large |x| = 36 \implies
\begin{cases}
+1(x) = 36\\
-1(x) = 36
\end{cases}\)

Answer 4

Yes. You nailed it right on the head!

This is also how you are going to solve questions like

|3x^2 2x+3| = 32

Answer 5

With extraneous solutions too, of course.