Question

which number line shows the solutions for x in the inequality x - 9.5 ≥ 17? a. number - line with a closed - circle at 7.5 and arrow pointing to the right b. number - line with a closed - circle at 7.5 and arrow pointing to the left c. number - line with a closed - circle at 26.5 and arrow pointing to the right d. number - line with a closed - circle at 26.5 and arrow pointing to the left

Explanation:

Step1: Solve the inequality

Add 9.5 to both sides of $x - 9.5\geq17$. So $x\geq17 + 9.5$.

Step2: Calculate the value

$17+9.5 = 26.5$, so $x\geq26.5$. On a number - line, this is represented by a closed circle at 26.5 and an arrow pointing to the right.

Answer:

D.