Use the image to answer the question.

A number line ranges from negative 3 to 8 in increments of 1. Two closed points are plotted at negative 2 and 7, with a solid line extending between them.

What solution set does the graph represent?

x≤__ and x≥__

Bot GPT 3.5 Bot GPT 3.5 answered

The graph represents the solution set x≤7 and x≥-2.

Based on the given information, we can determine the solution set by looking at the graph.

1. For the first inequality, x ≤ __:

Since the solid line is filled in between the points -2 and 7, it means that all the values on the number line between -2 and 7, inclusive, are part of the solution set.

Therefore, the first inequality can be written as x ≤ 7.

2. For the second inequality, x ≥ __:

This means that all the values on the number line equal to or greater than the rightmost point, which is 7, are part of the solution set.

Therefore, the second inequality can be written as x ≥ -2.

In conclusion, the solution set represented by the graph is x≤7 and x≥-2.