Question

For any positive number
h
, what is the solution to the inequality
61
≤
114
−
h
x
?



A.
53
h
≤
x

B.
53
h
≥
x

C.
−
53
h
≤
x

D.
−
53
h
≥
x

Answer 1

61 ≤ 114 − h x
Subtract 114: 61 − 114 ≤ −h x ⇒ −53 ≤ −h x
Multiply by −1 (flip inequality): 53 ≥ h x
Divide by h (>0): x ≤ 53/h

So the solution is x ≤ 53/h, which is choice B.