Use the image to answer the question.
A number line ranges from negative 10 to 2 in increments of 1. Two open points are plotted at negative 8 and negative 2, with a solid line extending between them.
Select the solution set represented on the graph.
Responses
x>−8 and x<−2
x≥−8 or x≤−2
x>−8 or x<−2
x≥−8 and x≤−2
The correct solution set represented on the graph is x>−8 and x<−2.
Based on the given information, we can determine the solution set represented on the graph by analyzing the plotted points and the solid line.
Looking at the plot, we see that there are open points at -8 and -2, which means that these values are not included in the solution set.
Considering the solid line extending between the two points, this indicates that the solution set includes all values that are greater than -8 and less than -2.
Therefore, the correct solution set represented on the graph is x > -8 and x < -2.
Hence, the correct option is: x > −8 and x < −2.