Question

Use the image to answer the question.

A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. A closed circle is marked on the tick line above 1. A line is drawn from 1 toward 10 with an arrow at the end.

Weston solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve?

(1 point)
Responses

x+0.5≥0.5

x plus 0.5 greater-than-or-equal-to 0.5

x−1>0

x minus 1 greater-than 0

x−0.5≤0.5

x minus 0.5 less-than-or-equal-to 0.5

x+5≥6

Answer 1

Solve each choice:

- x + 0.5 ≥ 0.5 → x ≥ 0 (closed at 0, right)
- x − 1 > 0 → x > 1 (open at 1, right)
- x − 0.5 ≤ 0.5 → x ≤ 1 (closed at 1, left)
- x + 5 ≥ 6 → x ≥ 1 (closed at 1, right)

The graph shows x ≥ 1, so the correct inequality is x + 5 ≥ 6.