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Solve the following system of inequalities graphically.x ≥ 3, y ≥ 2 - Mathematics and Statistics

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Question

Solve the following system of inequalities graphically.
x ≥ 3, y ≥ 2

Graph

Solution

To find a graphical solution, construct the table as follows:

Inequation Equation Double Intercept form Points (x, y) Region
x ≥ 3 x = 3 0 `≱ `3
∴ R.H.S. of line
x = 3
y ≥ 2 y = 2 0 `≱ `2
∴ above the line
y = 2


The shaded portion represents the graphical solution.

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Graphical Solution of Linear Inequality of Two Variable
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Chapter 8: Linear Inequations - Miscellaneous Exercise 8 [Page 122]

APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 8 Linear Inequations
Miscellaneous Exercise 8 | Q 1 | Page 122

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