1.

Show that each of the relation R in the set A={x∈Z:0≤x≤12}, given by (i) R = {(a, b) : |a - b| is a multiple of 4} (ii) R = {(a, b) : a = b} is an equivalence relation. Find the set of all elements related to 1 in each case.

Answer»

Show that each of the relation R in the set A={xZ:0x12}, given by
(i) R = {(a, b) : |a - b| is a multiple of 4}

(ii) R = {(a, b) : a = b} is an equivalence relation. Find the set of all elements related to 1 in each case.



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