Which of these relation on the set of all people are equivalence relation ? Determine the properties of an equivalence relation that the other lack.
(1) {(a,b) | a and b are the same age}
(2) {(a,b) | a and b have the same parents}
(3) {(a,b) | a and b share a common parents}
(4) {(a,b) | a and b have met}
(5) {(a,b) | a and b speak common language}
Appreciate your reply.
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