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Which of the following is NOT an equivalence relation on ?
Which of the following is NOT an equivalence relation on $\mathbb{Z}$?
- (a)$aRb \iff a + b$ is an even integer
- (b)$aRb \iff a - b$ is an even integer
- (c)$aRb \iff a < b$
- (d)$aRb \iff a = b$
Answer
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From ISC 2023 Specimen Mathematics Paper 1, question 1(i).