Binomial Theorem

Question
CBSEENMA11015378

Solve the following system of inequality graphically.
4x + 5y ≥ -20, x + 1 ≤ 0, y ≤ -1


Solution

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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