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Question
Find feasible solution for the following system of linear inequation graphically.
3x + 4y ≥ 12, 4x + 7y ≤ 28, x ≥ 0, y ≥ 0
Solution
| Corresponding equation | Points on the X-axis | Points on the Y-axis | Region |
| 3x + 4y = 12 | (4, 0) | (0, 3) | Non-origin side |
| 4x + 7y = 28 | (7, 0) | (0, 4) | origin side |
the shaded region is the feasible solution.
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Figure
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