1. Yes, (0,0) is a solution because it lies within the shaded region where both inequalities overlap.
2. c. (-2,3) is the only ordered pair that lies within the shaded region of the graphed system.
3. No, (-2,4) is not a solution because it does not lie within the shaded region where both inequalities overlap.
4. The solution is the region below the line y = 3x - 4 (dashed) and above or on the line y = -2x + 1 (solid), including the boundary line y = -2x + 1.
5. The solution is the region above or on the line 2x + y = -4 (solid) and below or on the line x - 2y = 4 (solid), including both boundary lines.
6. The solution is the region below or on the line y = (2/3)x + 2 (solid) and above the line y = -x - 3 (dashed), including the boundary line y = (2/3)x + 2.
Parent Tip: Review the logic above to help your child master the concept of systems of inequalities worksheet.
