Question

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

Answer 1

Answer:

A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.

Step-by-step explanation:

Required

$2x - 6 \geq 6(x - 2) + 8$

Required

Determine the number line

$2x - 6 \geq 6(x - 2) + 8$

Open the bracket

$2x - 6 \geq 6*x - 6*2 + 8$

$2x - 6 \geq 6x - 12 + 8$

$2x - 6 \geq 6x - 4$

Collect Like Terms

$2x - 6x \geq 6 - 4$

$- 4x \geq 2$

Divide both sides by -4

$\frac{- 4x}{-4} \geq \frac{2}{-4}$

$x \leq -0.5$

From the list of given options, the correct answer is option C

Answer 2

X < .5

And yea that’s the answer