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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 ≥ 0

∴ (1, 1) lies in the required region

Therefore, the solution set is the Y-axis and the right 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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