Solve the system of two linear inequalities graphically.
x>−1 y≥−5
Find the region with points that satisfy both inequalities. Select the region you wish to be shaded A, B, C or D
The system of inequalities can be graphed on the coordinate plane to find the region with points that satisfy both inequalities.
First, draw a vertical line at x = -1. This line represents the inequality x > -1. Since x is greater than -1, shade the area to the right of the line.
Next, draw a horizontal line at y = -5. This line represents the inequality y ≥ -5. Since y is greater than or equal to -5, shade the area above the line.
The shaded region that satisfies both inequalities is the area where the shaded regions from the two inequalities overlap. In this case, the shaded region is region D.
Therefore, region D is the region with points that satisfy both x > -1 and y ≥ -5.