7.6 systems of inequalities worksheet | PDF - Free Printable

1. (0,0) — Yes
2. (-1,4) — No
3. (2,5) — No
4. (5,-1) — Yes
5. (3,2) — Yes
6. x > 5, y ≤ 4 — Graph the vertical line x=5 (dashed) and shade right; graph horizontal line y=4 (solid) and shade below. Solution is the overlapping region.
7. y < 0, x ≥ 0 — Graph the x-axis (dashed) and shade below; graph the y-axis (solid) and shade right. Solution is the overlapping region (fourth quadrant including positive x-axis).
8. y < -3, x - y > 1 — Graph horizontal line y=-3 (dashed) and shade below; rewrite x-y>1 as y<x-1, graph line y=x-1 (dashed) and shade below. Solution is the overlapping region.
9. y < 2x + 3, y < -x + 1 — Graph lines y=2x+3 and y=-x+1 (both dashed); shade below each line. Solution is the overlapping region.