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Question
Solve the following inequation graphically in the two-dimensional plane.
4x + 5y ≤ 40
Solution
Consider the equation 4x + 5y ≤ 40
Two points required to draw the line are given by the table
| x | 10 | 0 |
| y | 0 | 8 |
The two points on the coordinate axes are (10, 0) and (0, 8) respectively.
Since the inequality is 4x + 5y ≤ 40, the origin O (0, 0) will satisfy the inequation as 4x + 5y ≤ 40
i.e. 0 ≤ 40.
The solution set is in the part of the plane towards the origin.
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