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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Determine the region in the plane determined by the inequalities: 2x + y ≥ 8, x + 2y ≥ 8, x + y ≤ 6 - Mathematics

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Question

Determine the region in the plane determined by the inequalities:

2x + y ≥ 8, x + 2y ≥ 8, x + y ≤ 6

Graph

Solution

2x + y = 8

x 0 4
y 8 0

x + 2y = 8

x 0 8
y 4 0

x + y = 6

x 0 6
y 6 0

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Chapter 2: Basic Algebra - Exercise 2.10 [Page 73]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 2 Basic Algebra
Exercise 2.10 | Q 7 | Page 73
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