Solve the system of two linear inequalities graphically. x>−5 y≥1 Find the region with points that satisfy both inequalities. Select the region you wish to be shaded: A, B,C, and D
To solve the system of two linear inequalities graphically, we will plot the graphs of both inequalities on the same coordinate plane and shade the region that satisfies both inequalities.
First, graph the inequality x > -5:
- Draw a vertical line at x = -5. Since the inequality is x > -5, the line should be dotted to indicate that the point (-5, y) is not included in the solution.
- Shade the region to the right of the dashed line.
Second, graph the inequality y ≥ 1:
- Draw a horizontal line at y = 1. Since the inequality is y ≥ 1, the line should be solid to indicate that the point (x, 1) is included in the solution.
- Shade the region above the solid line.
The shaded region that satisfies both inequalities is region C.