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Solve graphically : y ≤ 0 - Mathematics and Statistics

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Question

Solve graphically : y ≤ 0

Graph

Solution

Consider the line whose equation is y = 0. This represents the X-axis.
To find the solution set, we have to check any point other than origin.
Let us check the point (1, 1).
When y = 1, y ≰  0.
∴ (1,1) does not lie in the required region.
Therefore, the solution set is the X-axis and below the X-axis 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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