Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

we have
[tex] 2x- 6 \geq 6(x- 2) + 8 \\ 2x-6\geq 6x-12+8\\ 2x-6x\geq -12+8+6\\ -4x\geq 2\\ -x\geq 0.5\\ x\leq -0.5 [/tex]
the solution is the interval------> (-∞,-0.5]
see the attached figure
therefore
the answer is
the option C