- For system 1: Graph the horizontal dashed line y = -2 and shade above it. Graph the line 4x + y = 2 (or y = -4x + 2) as a dashed line and shade below it. The solution is the overlapping shaded region.
- For system 2: Graph the line x + y = 2 (or y = -x + 2) as a solid line and shade above it. Graph the line 4x + y = -1 (or y = -4x - 1) as a solid line and shade above it. The solution is the overlapping shaded region.
- For system 3: Graph the line 4x + y = 2 (or y = -4x + 2) as a dashed line and shade below it. Graph the horizontal dashed line y = -2 and shade above it. The solution is the overlapping shaded region.
- For system 4: Graph the horizontal dashed line y = -2 and shade below it. Graph the line x + y = 1 (or y = -x + 1) as a solid line and shade above it. The solution is the overlapping shaded region.
- For system 5: Graph the line 3x + y = -3 (or y = -3x - 3) as a solid line and shade above it. Graph the line x + 2y = 4 (or y = -0.5x + 2) as a solid line and shade below it. The solution is the overlapping shaded region.
- For system 6: Graph the line y = -2.5x - 2 as a solid line and shade below it. Graph the line y = -0.5x + 2 as a dashed line and shade below it. The solution is the overlapping shaded region.
Parent Tip: Review the logic above to help your child master the concept of solving systems of linear inequalities worksheet answers.
