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Solve graphically : 2x + 3y≤ 6 and x + 4y ≥ 4 - Mathematics and Statistics

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प्रश्न

Solve graphically : 2x + 3y≤ 6 and x + 4y ≥ 4

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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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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Linear Programming - Exercise 7.1 [पृष्ठ २३३]

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