Question

graph the intersection of x≥5 and y≤2. use the graphing tool to graph the intersection. click to enlarge graph

Explanation:

Step1: Graph the line x = 5

The inequality x ≥ 5 represents all the points to the right of the vertical line x = 5 including the line itself. So, draw a solid vertical line at x = 5 and shade the region to the right of it.

Step2: Graph the line y = 2

The inequality y ≤ 2 represents all the points below the horizontal line y = 2 including the line itself. So, draw a solid horizontal line at y = 2 and shade the region below it.

Step3: Find the intersection

The intersection of the shaded - regions of x ≥ 5 and y ≤ 2 is the region that is both to the right of x = 5 and below y = 2.

Answer:

The intersection is the region of the coordinate - plane that is to the right of the vertical line x = 5 and below the horizontal line y = 2, including the points on the lines x = 5 and y = 2.