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Solve the Following System of Inequalities Graphically: 2x + Y≥ 8, X + 2y ≥ 10 - CBSE (Arts) Class 11 - Mathematics

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Question

Solve the following system of inequalities graphically: 2x + y≥ 8, x + 2y ≥ 10

Solution

2x + y= 8 … (1)

x + 2= 10 … (2)

The graph of the lines, 2x + y= 8 and x + 2= 10, are drawn in the figure below.

Inequality (1) represents the region above the line, 2x + = 8, and inequality (2) represents the region above the line, x + 2= 10.

Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on the respective lines as follows.

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Solution Solve the Following System of Inequalities Graphically: 2x + Y≥ 8, X + 2y ≥ 10 Concept: Solution of System of Linear Inequalities in Two Variables.
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