Question
Solve the inequality graphically in a two-dimensional plane: 3y – 5x < 30
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Answer
The given inequality is 3y - 5x < 30.
Draw the graph of the line 3y - 5x = 30
Table of values satisfying the equation 3y - 5x = 30
Draw the graph of the line 3y - 5x = 30
Table of values satisfying the equation 3y - 5x = 30
| X | -6 | 0 |
| Y | 0 | 10 |
Putting (0, 0) in the given in equation, we have $ - 3 \times 0 - 5 \times 0 < 30 \Rightarrow 0 < 30$, which is true.
$\therefore $ Half plane of 3y - 5x < 0 is towards origin.
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