Question

Part 1: Show the work to solve |3x – 2| < 7

Part 2: Describe the graph of the solution in words.

Answer 1

to solve absolute value, you have to solve it as (-) and (+)(switch signs)
so, solve for x on the following
3x -2<7 and also 3x-2>-7

Answer 2

thank you

Answer 3

Or more simply, you can re-write it as a compound inequality:

-7 < 3x - 2 < 7