Question

which number line shows the solutions for x in the inequality -2.5 > x - 5? a. number - line with open - circle at 2.5 and arrow pointing right b. number - line with open - circle at 2.5 and arrow pointing left c. number - line with closed - circle at 2.5 and arrow pointing right d. number - line with closed - circle at 2.5 and arrow pointing left

Explanation:

Step1: Solve the inequality

Add 5 to both sides of $-2.5>x - 5$. We get $-2.5+5>x-5 + 5$, which simplifies to $2.5>x$ or $x<2.5$.

Step2: Interpret number - line representation

For $x<2.5$, the number - line should have an open circle at 2.5 (since 2.5 is not included in the solution set) and the arrow should point to the left.

Answer:

B.