Answer:
h ≤ 124 / 9
or
h ≤ 13.78
Explanation:
(3/4) (12h - 32) ≤ 100 (multiply both sides by 4)
(3) (12h - 32) ≤ 100 (4)
(3) (12h - 32) ≤ 400 (distribute 3 into the parenthesis)
(12h)(3) - (32)(3) ≤ 400 (expand left side terms)
36h - 96 ≤ 400 (add 96 to both sides)
36h ≤ 400 + 96
36h ≤ 496 (divide both sides by 36)
h ≤ 496 / 36 (sinmplify)
h ≤ 124 / 9
or
h ≤ 13.78