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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.