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प्रश्न
Solve graphically : 2x + y ≥ 2 and x – y ≤ 1
आलेख
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उत्तर
First we draw the lines AB and AC whose equations are 2x + y = 2 and x – y = 1 respectively.
| Line | Equation | Points on the X-axis | Points on the Y-axis | Sign | Region |
| AB | 2x + y = 2 | A(1, 0) | B(0, 2) | ≥ | non-origin ssde of line AB |
| AC | x – y = 1 | A(1, 0) | C(0, –1) | ≤ | origin side of the line AC |
The solution set of the given system of inequalities is shaded in the graph.
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