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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. |
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Answer» Show that each of the relation R in the set A={x∈Z:0≤x≤12}, given by (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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