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Binomial Theorem
Solve the following inequality graphically in twodimensional plane:
y + 8 ≥ 2x
First, we draw a dark line to represent the graph of straight line y + 8 = 2x.
i.e., 2x  y = 8
x 0 4
y 8 0
Now, let us take a point O(0, 0), i.e, origin.
Substitute in given inequality, 0 + 8 ≥ 2(0) or 8 ≥ 0 which is true.
Therefore, origin is the solution of given inequality.
From these observations, the graph is given below, in which shaded region represents the solution of the given inequality.
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