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Solve graphically : x ≤ 0 - Mathematics and Statistics

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Question

Solve graphically : x ≤ 0 

Graph

Solution

Consider the line whose equation is x= 0.
This represents the Y-axis.
To find the solution set, we have to check any point other than origin.
Let us check the point (1, 1).
When x= 1,x `cancel<=` 0
∴ (1, 1) does not lie in the required region.
Therefore, the solution set is the Y-axis and the left side of the Y-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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