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. -7≤ x≤4 This inequality represents all numbers that are greater than or equal to -7 and less than or equal to 4. On a number line, this is graphed with closed circles at x=-7 and x = 4, and includes all numbers between them.

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