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Which of the following relations is reflexive but not transitive for the set T = {7, 8, 9}?(a) R = {(7, 7), (8, 8), (9, 9)}(b) R = {(7, 8), (8, 7), (8, 9)}(c) R = {0}(d) R = {(7, 8), (8, 8), (8, 9)}This question was addressed to me during an interview.This key question is from Types of Relations in section Relations and Functions of Mathematics – Class 12 |
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Answer» CORRECT option is (a) R = {(7, 7), (8, 8), (9, 9)} EASY explanation: The relation R= {(7, 7), (8, 8), (9, 9)} is reflexive as every element is related to itself i.e. (a,a) ∈ R, for every a∈A. and it is not transitive as it does not satisfy the condition that for a relation R in a SET A if (a1, a2)∈R and (a2, a3)∈R IMPLIES that (a1, a3) ∈ R for every a1, a2, a3 ∈ R. |
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