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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

x ≤ 0, y ≥ 0

Consider the lines whose equation are x = 0 and y = 0. 

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

Since x ≤ 0, y ≥ 0, the solution set is in the second 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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