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Answer the following: R = {1, 2, 3} → {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} Check if R is transitive

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Question

Answer the following:

R = {1, 2, 3} → {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} Check if R is transitive

Sum
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Solution

∴ (1, 2), (2, 3) ∈ R but (1, 3) ∉ R

∴ R is not transitive

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Chapter 5: Sets and Relations - Miscellaneous Exercise 5.2 [Page 105]

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Balbharati Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
Chapter 5 Sets and Relations
Miscellaneous Exercise 5.2 | Q II. (9) (c) | Page 105

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