Let A ={1,2,3,4,5,6,7} which of the following two is a partition giving rise to an equivalence relation ? Why ?
(a) $A_1 = \{1,3,5\}; A_2 = \{2\} ; A_3 = \{4,7\}$
(b) $B_1 =\{1,2,5,7\} ; B_2 =\{3\} ; B_3 =\{4,6\}$
Since for an equivalence relation : a relation is said to be equivalence if it possess three properties : reflexive, symmetric, and transitive.
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