Binomial Theorem

Question
CBSEENMA11015373

Solve the following inequality graphically in two-dimensional plane:
2x – 3y > 6

Solution

First, we draw a dotted line to represent graph of line 2x - 3y = 6.
x        0        3
y       -2        0
Now, let us take a point O(0, 0). Substitute in given inequality. 2(0) - 3(0) > 6 or 0 > 6 which is not true. Therefore, origin is not the solution of given inequality. From these observations, the graph is given below in which the shaded region represents the solution of the given inequality.

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