Question

Graph the following:
Y≤X-+2
y>-x-5

Answer 1

Explanation:

To graph the system of inequalities:

Graph the line y = x - 2. This is a dotted line since it is a "less than or equal to" inequality. Plot two points on the line, such as (0,-2) and (2,0), and draw a straight line through them. Shade the area below the line to represent the solution set for the inequality y ≤ x - 2.

Graph the line y = -x - 5. This is a solid line since it is a "greater than" inequality. Plot two points on the line, such as (0,-5) and (-5,0), and draw a straight line through them. Shade the area above the line to represent the solution set for the inequality y > -x - 5.

The shaded regions represent the solution set for the system of inequalities. The intersection of the shaded regions is the region that satisfies both inequalities.