Question

What is the solution for this inequality?

-4x ≤ 28
A) x ≤ -7
B) x ≥ 7
C) x = 7
D) x = -7

Answer 1

The solution to the inequality -4x ≤ 28 is found by dividing both sides by -4, which results in x ≥ -7, meaning the correct answer is B) x ≥ 7.

Step-by-step explanation:

The inequality given is -4x ≤ 28. To find the solution for this inequality, we need to isolate the variable x on one side of the inequality.

We do this by dividing both sides of the inequality by -4, remembering that when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality sign.

Thus, we get:

x ≥ -7

Therefore, the correct answer is B) x ≥ 7.