Question

Solve 4x > 36 and x + 5 < 8.


A. 3 < x < 9
B. x < 9 or x > 3
C. 9 < x < 3
D. no solution

Answer 1

4x > 36 x+5 < 8
x > 9 x <3

Right answer. C .

Answer 2

The answers are essentially two separate inequalities each, but just written as one. For example, "A" is actually just x>3, and x<9. Knowing that, the two equations we are working with give us the two numbers that are the boundaries for x:

4x>36
x>9

And

x+5<8
x<3

So together that would be 3<x<9, C.