1. For y > 2x, shade the half-plane above the dashed line y = 2x.
2. For y ≤ -3, shade the half-plane below and including the solid horizontal line y = -3.
3. For y < -x + 2, shade the half-plane below the dashed line y = -x + 2.
4. For y ≥ x + 4, shade the half-plane above and including the solid line y = x + 4.
5. For 2x + y > 6, rewrite as y > -2x + 6, then shade the half-plane above the dashed line y = -2x + 6.
6. For x + 3y < -6, rewrite as y < (-1/3)x - 2, then shade the half-plane below the dashed line y = (-1/3)x - 2.
7. For 2x - y > 4, rewrite as y < 2x - 4, then shade the half-plane below the dashed line y = 2x - 4.
8. For 3x + y ≤ 0, rewrite as y ≤ -3x, then shade the half-plane below and including the solid line y = -3x.
Parent Tip: Review the logic above to help your child master the concept of graphing inequalities in two variables worksheet.