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प्रश्न
Solve graphically : x – y ≤ 2 and x + 2y ≤ 8
उत्तर
First we draw the lines AB and CD whose equations are x – y = 2 and x + 2y = 8 respectively.
| Line | Equation | Points on the X-axis | Points on the Y-axis | Sign | Region |
| AB | x – y ≤ 2 | A(2, 0) | B(0, –2) | ≤ | origin side of line AB |
| CD | x + 2y ≤ 8 | C(8, 0) | D(0, 4) | ≤ | origin side of line CD |
The solution set of the given system of inequalities is shaded in the graph.
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