Question

Graph the inequality on the axes below.
minus, x, plus, y, is greater than or equal to, minus, 3
−x+y≥−3 graph on a graph with two points

Answer 1

1. Rewrite the inequality: −x + y ≥ −3 → y ≥ x − 3.

2. Draw the boundary line y = x − 3. It is solid (use a solid line) because the inequality is ≥.

3. Two convenient points on the line:
- x = 0 → y = −3 → (0, −3)
- x = 3 → y = 0 → (3, 0)

Plot (0, −3) and (3, 0) and draw the line through them (slope = 1, y-intercept = −3).

4. Shade the region above the line (all points with y greater than or equal to x − 3). Check with a test point: (0,0) gives 0 ≥ 0 − 3 → 0 ≥ −3 (true), so shade the side containing the origin.