What is the solution set for 31 > -5 + 4x?

Question

Responses
A x < -9x < -9
B x > -9x > -9
C x > 9x > 9
D x < 9

Answer 1

To find the solution set for the inequality 31 > -5 + 4x, we need to isolate the variable x.

First, let's get rid of the -5 by adding 5 to both sides of the inequality:

31 + 5 > -5 + 5 + 4x
36 > 4x

Next, divide both sides of the inequality by 4 to isolate x:

36/4 > 4x/4
9 > x

So, the solution to the inequality is x < 9.

Therefore, the correct response is:

D) x < 9.