Question
Solve the inequality graphically in a two-dimensional plane: 2x – 3y > 6
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Answer
The given inequality is 2x- 3y > 6
Draw the graph of line 2x - 3y = 6
Table of values satisfying the equation 2x - 3y = 6
Draw the graph of line 2x - 3y = 6
Table of values satisfying the equation 2x - 3y = 6
| X | 6 | 9 |
| Y | 2 | 4 |
Putting (0, 0) in the given in equation, we have
$2 \times 0 - 3 \times 0 > 6 \Rightarrow 0 > 6$, which is false.
$\therefore $ Half plane 2x - 3y > 6 is away from origin.
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