Question

Which of the following is not a way to represent the solution of the inequality 7 − 9x − (x + 12) less than or equal to 25?

A) x greater than or equal to −3
B) x less than or equal to −3
C) −3 less than or equal to x
D) A number line with a closed circle on negative 3 and shading to the right

Answer 1

B.

Explanation:

7-9x - (x+12) ≤ 25

7 - 9x - x - 12 ≤ 25

-10x - 5 ≤ 25

-10x ≤ 25 +5

x ≥ 30/-10

x ≥ -3.

So, the incorrect answer is B.

Answer 2

A) x greater than or equal to −3

Explanation:

We have the following inequality:

7 − 9x − (x + 12) ≤ 25

Solving the inequation, we have:

7 − 9x − x - 12 ≤ 25

-10x ≤ 30

-x ≤ 3

x≥-3

Therefore the result is option A) x greater than or equal to −3