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Solve graphically : x ≥ 0 and y ≥ 0 - Mathematics and Statistics

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Question

Solve graphically : x ≥ 0 and y ≥ 0

Graph

Solution

Consider the lines whose equations are x = 0, y = 0.

These represents the equations of Y-axis and X-axis respectively, which divide the plane into four parts.

Since x ≥ 0, y ≥ 0, the solution set is in the first quadrant which is shaded in the graph.

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Linear Inequations in Two Variables
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Chapter 7: Linear Programming - Exercise 7.1 [Page 232]

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