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If R={(a,b)//|a+b|=|a|+|b|} is a relatio...

If `R={(a,b)//|a+b|=|a|+|b|}` is a relation on a set `{-1,0,1}` then R is_

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Show that the relation R on the set A{x in Z;0<=12}, given by R={(a,b):a=b}, is an equivalence relation.Find the set of all elements related to 1.

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