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Question
Find the graphical solution of the following system of linear inequations:
x – y ≤ 0, 2x – y ≥ − 2
Solution
To find graphical solution, construct the table as follows:
| Inequation | Equation | Double Intercept form | Points (x, y) | Region |
| x – y ≤ 0 | x – y = 0 | - | O (0, 0) A (1, 1) |
(0) – (0) ≤ 0 ∴ 0 ≤ 0 ∴ origin side |
| 2x – y ≥ − 2 | 2x – y = − 2 | `(2"x")/-2-"y"/-2=(-2)/-2` | B (–1, 0) C (0, 2) |
2(0) – (0) ≥ –2 ∴ 0 ≥ –2 ∴ origin side |
The shaded portion represents the graphical solution.
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