Solve for x.

1/8x−5<−8 or 7x−4≥38

it's actually solve for two x's

(1/8)x−5<−8 or 7x−4 ≥38

In the first inequality, add 5 to both sides

(1/8)x < -3 multiply both sides by 8

x < -24

In the second inequality add 4 to both sides

7x ≥ 38 divide both sides by 7

x ≥ 38/7

So..the answer is

(-infinity, -24) U [ 38/7, infinity )