Question

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

Answer 1

the numbers must be exactly 12 units from 0. That's what the absolute value means. That means the number must be 12 or -12 because those are the only two numbers that are exactly 12 units from 0. So write and solve the following two equations:

Answer 2

\[-2x+8=12\]
or
\[-2x+8=-12\]

Answer 3

-2 & 10

Answer 4

Good for you.