Question

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

its opiction c on edegnuity

Answer 1

Answer: x≤ -0.5

Step-by-step explanation: Graph the two lines or solve for x:

2x – 6 ≥ 6(x – 2) + 8

2x – 6 ≥ 6x – 12 + 8

2x – 6 ≥ 6x – 4

-4x ≥ 2

x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]

The number line is anything less than or equal to - 1/2

Or one can plot each side of the inequality and note the interception point (x = -(1/2)).