Question

What is the solution set of |2x - 3| - 8 = -1?

A- 7 or -7
B- 5 or -2
C- 5 or 2
D- No solution

Answer 1

\(\bf |2x - 3| - 8 = -1\implies |2x - 3| = -1+8\\ \quad \\
|2x - 3|=7\implies
\begin{cases}
+(2x - 3)=7\\ \quad \\
\bf -(2x - 3)=7
\end{cases}\)

Answer 2

so you'd get 2 values for "x"

Answer 3

Starting from where @jdoe0001 left off,
\[2x-3=7\]\[2x=10\]\[x=5\]
\[-2x+3=7\]\[-2x=4\]\[x=-2\]

Answer 4

Thank You Both! :D