Question

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

−8x + 6 ≤ 2(−3x + 1)
Responses
A x ≥ 2
B x ≤ 2
C x > 1 / 2
D x < −1

Answer 1

The possible values of x can be found by solving the inequality:

−8x + 6 ≤ 2(−3x + 1)

First, simplify both sides of the inequality:

−8x + 6 ≤ -6x + 2

Next, combine like terms:

2x + 6 ≤ 2

Subtract 6 from both sides:

2x ≤ -4

Divide both sides by 2:

x ≤ -2

Therefore, the possible values of x are:

D) x < -1