Question

Solve the absolute value equation or indicate that the equation has no solution.
│x + 6│ = 9

A. {3}
B. {-15, 3}
C. {-3, 15}
D. ø

Answer 1

Given this:
\[
\begin{align}
|x+6|&=9\implies\\
x+6&=\pm 9\implies\\
x &= \pm 9 -6\implies\\
x&\in\{-15, 3\}
\end{align}
\]