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Question
Determine the region in the plane determined by the inequalities:
x − 2y ≥ 0, 2x − y ≤ −2, x ≥ 0, y ≥ 0
Solution
If x – 2y = 0
| x | 0 | 2 | − 2 |
| y | 0 | 1 | − 1 |
2x – y = − 2
| x | 0 | − 1 |
| y | 2 | 0 |
x ≥ 0, y ≥ 0 represents the portion in the 1 quadrant only.
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