In the inequality, what are all the possible values of x?

Question

−8x + 6 ≤ 2(−3x + 1)
Responses

A x ≥ 2x ≥ 2

B x ≤ 2x ≤ 2

C x >

1
2
x > 1 2

D x < −1

Answer 1

To find the possible values of x, we need to solve the inequality. First, distribute the 2 on the right side of the inequality:

-8x + 6 ≤ -6x + 2

Next, combine like terms:

-8x + 6x ≤ 2 - 6

Simplify:

-2x ≤ -4

To isolate x, divide both sides of the inequality by -2, remembering that when dividing by a negative number, the inequality symbol flips:

x ≥ -4 / -2

x ≥ 2

Therefore, the possible values of x are x ≥ 2.

So, the correct answer is: A) x ≥ 2.