Question

What is the solution to |2x-8|<6 ?

Answer 1

1 < x < 7

Explanation:

Hello!

There are two cases for this equation:

• 2x - 8 < 6
• 2x - 8 > -6

Solve for x in each case.

Solve for x

• 2x - 8 < 6
  2x - 8 > -6
• 2x < 14
  2x > 2
• x < 7
  x > 1

The solution set is 1 < x < 7.