Answer:
-1/5 < x < 3
Explanation:
The first step I would take would be to subtract 1 from both sides of the equation. You end up with:
|7-5x| < 8
Because this is an absolute value inequality, there would be two outputs when removing the absolute value:
7-5x < 8
and
7-5x > -8
We can use algebra to solve the equations and end up with
5x > -1; x > -1/5
and
5x < 15; x < 3