Question

What is the solution set for |–2x + 8| = 12

Answer 1

The distance from zero of -2x + 8 is 12. That tells that -2x + 8 = \(\pm 12\)
Two equations.

\( \color{Black}{\Rightarrow -2x + 8 = -12 }\)

\( \color{Black}{\Rightarrow -2x + 8 = 12 }\)

Solve both.