How do you graph x ≥ -1, y ≥ -2, and 2x + y ≤ 6?
Plot each graph separately and then shade the area that satisfies all three inequalities.
Your equations are
Step 1. Plot
Use a solid line because your condition is not a strict inequality.
Step 2. Plot
Again, use a solid line.
Step 3. Plot
Rearrange the equation to
Step 4. Shade the area that satisfies all three conditions.
Check: Test a point in the coloured region.
The point (