Unfortunately, I cannot provide a graph as an answer. However, you can graph this system of inequalities by following these steps:
1. Graph the line y = -3x - 2:
- Start by plotting two points on the line. For example, you can choose (0, -2) and (1, -5).
- Draw a straight line passing through these two points.
2. Shade the area below the line y = -3x - 2 since it is "y ≤ -3x - 2". This means all points below the line are solutions to the inequality.
3. Graph the line y = 2x + 1:
- Start by plotting two points on the line. For example, you can choose (0, 1) and (1, 3).
- Draw a straight line passing through these two points.
4. Shade the area above the line y = 2x + 1 since it is "y ≥ 2x + 1". This means all points above the line are solutions to the inequality.
The area where the shaded regions overlap represents the solution to the system of inequalities.
Which graph represents this system of inequalities? y ≤ –3x – 2 y ≥ 2x + 1
1 answer