anonymous one year ago solve |5-8x|-7<8

1. anonymous

i got $\left\{ x|x< 1/8 or x>3/8\right\}$

2. Directrix

I think that is not correct. What was your very first step?

3. Directrix

|5-8x|-7<8 |5-8x| -7 < 8 +7 +7 ----------------- |5-8x| < 15

4. Directrix

@Justmeneedinghelp Next step?

5. anonymous

division?

6. jim_thompson5910

hint: |x| < k breaks down into -k < x < k where k is some positive number

7. jim_thompson5910

example: |x| < 2 turns into -2 < x < 2

8. Directrix

|5-8x| < 15 means -15 < 5 - 8x < 15