Question
Solve the inequality graphically in a two-dimensional plane: x – y $\leq$ 2
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Answer
The given inequality is x - y $ \leq $ 2.
Draw the graph of the line x - y = 2
Table of values satisfying the equation x - y = 2
Draw the graph of the line x - y = 2
Table of values satisfying the equation x - y = 2
| X | 2 | 3 |
|---|---|---|
| Y | 1 | 2 |
Putting (0, 0) in the given inequation, we have
0 - 0 $ \leq $ 2 $\Rightarrow$0$ \leq $2 which is true
$\therefore $ Half-plane of x - y $ \leq $ 2 is towards origin
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