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Solve the following inequation graphically in the two-dimensional plane.y ≥ 3 - Mathematics and Statistics

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Graph

Solve the following inequation graphically in the two-dimensional plane.
y ≥ 3

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Solution

Given, inequation is y ≥ 3
∴ corresponding equation is y = 3
It is a line parallel to X-axis passing through the point A(0, 3)
Origin test:
Substituting y = 0 in inequation, we get
0 ≥ 3 which is false.
∴ Points on the origin side of the line do not satisfy the inequation
∴ Points on the non-origin side of the line satisfy the inequation
∴ all the points on the line and above it satisfy the given inequation.
The shaded portion represents the solution set.

Concept: Graphical Solution of Linear Inequality of Two Variable
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 8 Linear Inequations
Exercise 8.2 | Q 1. (ii) | Page 120
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