Question

Solve the compound inequality below:

−5b+5 ≤ 25 and 7b+6 ≤ −36

a
No Solution
b
b≤-4 and b≤-6
c
All Real Numbers
d
b≥-4 and b≤-6

Answer 1

-5b+5 <= 25
-5b <= 25 - 5
-5b <= 20
sign flips direction when divide/multiply by negative
b >= -4

7b +6 <= -36
7b <= -36 - 6
7b <= -42
b <= -6

answer D