Use the image to answer the question.

Question

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

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

x−1>0
𝑥
−
1
>
0
x minus 1 greater-than 0

x+5≥6
𝑥
+
5
≥
6
x plus 5 greater-than-or-equal-to 6.........

Answer 1

To determine which inequality Weston solved based on the graph on the number line, we need to consider the options provided. Unfortunately, without the image of the number line to analyze, I can't directly conclude which inequality corresponds to the graph.

However, I can briefly outline the implications of each inequality:

1. \(x - 0.5 \leq 0.5\): This simplifies to \(x \leq 1\), which would be shown on a number line with a closed circle at 1 and shading to the left.

2. \(x + 0.5 \geq 0.5\): This simplifies to \(x \geq 0\), which would be represented by a closed circle at 0 and shading to the right.

3. \(x - 1 > 0\): This simplifies to \(x > 1\), shown on a number line with an open circle at 1 and shading to the right.

4. \(x + 5 \geq 6\): This simplifies to \(x \geq 1\), similar to the second option, shown with a closed circle at 1 and shading to the right.

If you can describe the number line, such as the location of any points or whether circles are open or closed, that would help identify the correct inequality.