Question

which number line shows the solution to the inequality -2x + 3 ≥ -11?

Explanation:

Step1: Isolate the term with x

Subtract 3 from both sides of -2x + 3 ≥ -11.
-2x+3 - 3≥ - 11 - 3, which simplifies to -2x≥ - 14.

Step2: Solve for x

Divide both sides by -2. When dividing an inequality by a negative number, the direction of the inequality sign changes.
So, $\frac{-2x}{-2}\leq\frac{-14}{-2}$, and we get x ≤ 7.

Answer:

C. A number - line with a closed - circle at 7 and the line shaded to the left of 7.