Showing the non-negative solutions

Question

Question: For each of the following constraints, draw a separate graph to show the non-negative solutions that satisfy this constraint.

1. x₁ + 3x₂ ≤ 6

2. 4x₁ + 3x₂ ≤ 12

3. 4x₁ + x₂ ≤ 8

4. Combine these constraints into a single graph to show the feasible region for the entire set of functional constraints plus non-negativity constraints.