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 )