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.
Responses
m≥10 and m≤9
m>10 or m<9
m≥10 or m≤9
m>10 and m<9
The correct solution set represented on the graph is m≥10 or m≤9.
The solution set represented on the graph can be determined by looking at the endpoints of the solid lines.
On the right side of the number line, the solid line extends beyond 13, indicating that the values are greater than 13. Therefore, the condition represented on this side is m > 13.
On the left side of the number line, the solid line extends beyond 1, indicating that the values are less than 1. Therefore, the condition represented on this side is m < 1.
To find the overall solution set, we need to combine the conditions from both sides. Looking at the closed points on the graph, we see that a closed point is plotted at 10 and 9.
This means that the condition for the solution set on the right side is m ≥ 10, and the condition for the solution set on the left side is m ≤ 9.
Combining these conditions, we get the solution set:
m ≥ 10 or m ≤ 9