Exercise 52 Page 386

In this exercise, we want to graph the given inequality on a number line and determine whether the graph is a segment, a ray or rays, a point, or a line. First, consider the given inequality. This inequality represents all numbers that are greater than or equal to $\text{-}7$ and less than or equal to $4.$ On a number line, this is graphed with closed circles at $x=\text{-}7$ and $x=4,$ and includes all numbers between them.

This graph starts at $x=\text{-}7$ and ends at $x=4.$ It has two definite endpoints, so this graph is a segment.