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Question
Find graphical solution for the following system of linear inequations:
2x + 3y ≥ 2, -x + y ≤ 3, x ≤ 4, y ≥ 3
Sum
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Solution
2x + 3y ≥ 2,
-x + y ≤ 3,
x ≤ 4,
y ≥ 3
| 2x + 3y ≥ 2 | ||
| x | 0 | 1 |
| y | 0.6 | 0 |
| (x,y) | (0, 0.6) | (1, 0) |
| -x + y ≤ 3 | ||
| x | 0 | -3 |
| y | 3 | 0 |
| (x,y) | (0,3) | (-3,0) |
| x ≤ 4 | |
| x | 4 |
| y | 0 |
| (x,y) | (4, 0) |
| y ≥ 3 | |
| x | 0 |
| y | 3 |
| (x,y) | (0,3) |

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