Question

Multiple Equations or Inequalities Quick Check
5 of 55 of 5 Items






Question
Use the image to answer the question.

A number line ranges from 1 to 13 in increments of 1. A closed point is plotted at 10, with a solid line extending right, beyond 13. A closed point is plotted at 9, with a solid line extending left, beyond 1.

Select the solution set represented on the graph.

(1 point)
Responses

m≥10
and m≤9
m greater-than-or-equal-to 10 and m less-than-or-equal-to 9

m>10
and m<9
m greater than 10 and m less than 9

m>10
or m<9
m greater than 10 or m less than 9

m≥10
or m≤9

Answer 1

To analyze the number line described:

1. There is a solid point at 10 extending to the right, which means all values greater than or equal to 10 are included. This is represented by \( m \geq 10 \).
2. There is also a solid point at 9 extending to the left, which means all values less than or equal to 9 are included. This is represented by \( m \leq 9 \).

Since these two conditions are being combined, and because either \( m \) being greater than or equal to 10 or \( m \) being less than or equal to 9 satisfies the inequality, the correct option is:

**m ≥ 10 or m ≤ 9**.

This means \( m \) can either be greater than or equal to 10, or less than or equal to 9, covering the entire range depicted on the graph.