Question

Which represents the solution for the inequality -7x +42 < or equal to 28 ?

A. x is greater than or equal to -10
B. x is less than or equal to -10
C. x is less than or equal to 2
D. x is greater than or equal to 2

Answer 1

The answer is D x is greater than or equal to 2

Answer 2

The answer is D.

Explanation:

If we plug in the first two answers (-10):

-7(-10) +42 < or equal to 28

Two negatives equal a positive so: 70+42=112 which is not less than or equal to 28.

So both A and B are not correct, because -10 results in a number GREATER than 28.

This means it has to be either C or D and both use the number +2, so we'll try +1 to solve for C, and +3 to solve for D.

For C: -7(1) +42 < or equal to 28

-7+42=35 which is NOT less than or equal to 28

For D: -7(3) +42 < or equal to 28

-21+42=21 which IS less than or equal to 28

Each number greater than 2 will give you a larger number being subtracted from 42, and that result will always be less than or equal to 28.