Question
Solve the inequality graphically in a two-dimensional plane: x + y < 5
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Answer
The given inequality is x + y < 5.
Draw the graph of the line x + y = 5
Table of values satisfying the equation x + y = 5
Draw the graph of the line x + y = 5
Table of values satisfying the equation x + y = 5
| x | 1 | 2 |
| y | 4 | 3 |
Putting (0, 0) in the given in equation we have 0 + 0 < 5 $ \Rightarrow $ 0 < 5 which is true.
$\therefore $ Half plane of x + y < 5 is towards origin.
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