Question

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

Answer 1

Answer:

Graph C

Step-by-step explanation:

2x - 6 ≥ 6(x - 2) + 8

2x - 6 ≥ 6x - 12 + 8

2x - 6 + 4 ≥ 6x

2x - 2 ≥ 6x

-2 ≥ 4x

-1/2 ≥ x

or

x ≤ -0.5

If x is LESS THAN OR EQUAL to -0.5, it will go towards the LEFT and INCLUDE the point (0, -0.5). Correct graph is C