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
D x < −1x < −1

Answer 1

To solve the inequality, we can start by simplifying both sides:

-8x + 6 ≤ 2(-3x + 1)

Distribute the 2 on the right side of the inequality:

-8x + 6 ≤ -6x + 2

Next, we can combine like terms:

-8x + 6x ≤ 2 - 6

Simplifying further:

-2x ≤ -4

To isolate x, we divide both sides of the inequality by -2. However, since we are dividing by a negative number, the direction of the inequality must be reversed:

x ≥ 2

Therefore, the possible values of x are all real numbers greater than or equal to 2. The correct answer is A.