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Binomial Theorem
First, we draw the line 4x + 5y = 20
x 0 5
y 4 0
Now, consider the point O(0, 0), i.e, origin.
Substitute in inequality 4x + 5y ≥ 20,
i.e, 4(0) + 5(0) ≥  20 or 0 ≥  20 which is true.
∴ origin is solution of inequality
4x + 5y ≥ 20
Therefore, we mark that region which contains origin.
For x + 1 ≤ 0 or x ≤ 1, we mark the region on left side of line x = 1.
For y ≤ 1, we mark the region below the line y = 1.
Now, we shade the common region. The required solution is given by the triangular region ABC as shown below in the graph.
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