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प्रश्न
Solve graphically : 2x + 3y≤ 6 and x + 4y ≥ 4
उत्तर
First we draw the lines AB and CD whose equations are 2x + 3y = 6 and x + 4y = 4 respectively.
| Line | Equation | Points on the X-axis | Points on the Y-axis | Sign | Region |
| AB | 2x + 3y = 6 | A(3, 0) | B(0, 2) | ≤ | origin side of line AB |
| CD | x + 4y = 4 | C(4, 0) | D(0. 1) | ≥ | non-origin side of line CD |
The solution set of the given system of inequalities shaded in the graph.
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