Question

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

Answer 1

The answer is c. Good luck!

Answer 2

we have

`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`

the solution is the interval------> (-∞,-0.5]

see the attached figure

therefore

the answer is

the option C