Use the image to answer the question.

Question

A number line from -10 to 10 and it ts marked with an ornage dot and arow on the number one pointing ot the number 10

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 the description of the number line, we need to consider which inequality would result in a graphical representation where the solution includes the point represented by an orange dot at 1 and points towards 10.

1. m + 0.5 ≥ 0.5: This simplifies to m ≥ 0. Since the dot is at 1 and extends to 10, this inequality could fit.

2. m + 5 ≥ 6: This simplifies to m ≥ 1. This also matches the representation with the dot at 1 and extending to 10.

3. m - 0.5 ≤ 0.5: This simplifies to m ≤ 1. This would not match, as it would extend to the left on the number line instead of the right.

4. m - 1 > 0: This simplifies to m > 1. This would mean the solution starts at a point just after 1, not including it, and would not match the dot at 1.

Considering the descriptions, the inequalities that could match the orange dot at 1 and extending toward 10 are the first two options. However, since the dot at 1 would indicate that 1 is included in the solution and goes to 10, the correct answer would be:

m + 5 ≥ 6.