Binomial Theorem


Solve the following inequality graphically in two-dimensional plane:
4 straight x minus 3 straight y greater or equal than 0


First, we draw the graph of straight line 4x - 3y = 0
x     0        3
y     0        4
Now, let us take a point B(1, 1)
∴  4(1) - 3(1) greater or equal than 0 or 1 greater or equal than 0 which is true.
From these observations, the required solution is represented by the shaded portion of the graph given below which contains point B(1, 1).

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