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

m + 0.5 ≥ 0.5 m + 0.5 ≥ 0.5

m + 5 ≥ 6m + 5 ≥ 6

m − 0.5 ≤ 0.5m − 0.5 ≤ 0.5

m − 1 > 0

Answer 1

To determine which inequality Weston solved based on his graph, you would need to analyze the properties of the inequalities provided and the characteristics of their graphs.

1. \( m + 0.5 ≥ 0.5 \):

   • Rearranging gives \( m ≥ 0 \). This means the graph would start from 0 and shade to the right, including 0.

2. \( m + 5 ≥ 6 \):

   • Rearranging gives \( m ≥ 1 \). The graph would start from 1 and shade to the right, including 1.

3. \( m − 0.5 ≤ 0.5 \):

   • Rearranging gives \( m ≤ 1 \). The graph would start from 1 and shade to the left, including 1.

4. \( m − 1 > 0 \):

   • Rearranging gives \( m > 1 \). The graph would start just above 1 and shade to the right, not including 1.

To choose the correct option, observe the graph and identify the key characteristics:

• If the graph includes 1 and shades to the right, it aligns with either the first option or the second.
• If the graph includes 1 and shades to the left, it aligns with the third option.
• If the graph starts just above 1 and shades to the right, it aligns with the fourth option.

Without the specific image, I recommend using the provided descriptions to match against the visual result shown in the number line. Based on that, select the option that accurately describes the inequality Weston solved.