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[" 11) Show that the relation "R" in the...

[" 11) Show that the relation "R" in the set "],[A={1,2,3,4,5}" Given by "R={(a,b)/],[|a-b|" is even "}" is an equivalence relation "]

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Show that the relation R in the set A = (1,2,3,4,5} given by R = {(a,b) : |a - b| is even }, is an equivalence relation. Show that all the elements of {1,3,5} are related to each other and all the elements of {2,4} are related to each other. But no element of {1, 3, 5} is related to any element of {2,4}.

Show that the relation R on the set A={1,2,3,4,5}, given by R={(a,b):|a-b| is even }, is an equivalence relation.Show that all the elements of {1,3,5} are related to each other and all the elements of {2,4} are related to each other.But,no element of {1,3,5} is related to any element of {2,4} .

Show that the relation R in the set A = {1,2,3,4,5} given by R = {(a,b) : |a-b| is even}, is an equivalence relation. Show that all the elements of {1,3,5} are related to each other and all the elements of {2,4} are related to each other. But no element of {1,3,5} is related to any element of {2,4}.

Show that the relation R in the set A = {1,2,3,4,5} given by R = {(a,b) : |a-b| is even}, is an equivalence relation. Show that all the elements of {1,3,5} are related to each other and all the elements of {2,4} are related to each other. But no element of {1,3,5} is related to any element of {2,4}.