Which one of the following relations on R is an equivalence relation?
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a
aR1b⇔|a|=|b|
b
aR2b⇔a≥b
c
aR3b⇔a divides b
d
aR4b⇔a
answer is A.
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Detailed Solution
aR1b⇔|a|=|b| satisfies. Inequality operation can't be reflective, symmetricso it is not equivalence but equality is reflexive, symmetric, and transitiveso this relation is equivalence