Show that the relation R={(a, b):a, b ∈Z and a + b is even } is an equivalence relation on Z

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#31. Let R={(a,b): a,b∈Z and a+b is even}. Show that R is an equivalence relation on Z.  #31. Let R={(a,b): a,b∈Z and a+b is even}. Show that R is an equivalence relation on Z. 
#12. Let R={(a,b): a, b ∈ Z and a-b is even}. Then show that R is an equivalence relation. #12. Let R={(a,b): a, b ∈ Z and a-b is even}. Then show that R is an equivalence relation.
the relation R on the setA={1,2,3,4,5}given byR={(a,b): |a-b| is even} is an equivalence relation. the relation R on the setA={1,2,3,4,5}given byR={(a,b): |a-b| is even} is an equivalence relation.
Let R ={(a, b):a,b in Z and (a-b) is divisible by 5 }. Show that R is an equivalence relation on Z. Let R ={(a, b):a,b in Z and (a-b) is divisible by 5 }. Show that R is an equivalence relation on Z.
#29. On the set Z of all integers, consider the relation R={(a,b):(a-b) is divisible by 3}. Show ••• #29. On the set Z of all integers, consider the relation R={(a,b):(a-b) is divisible by 3}. Show •••
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Prove aRb iff a+b =2n is an equivalence relation on the set Z. State two equivalence classes Prove aRb iff a+b =2n is an equivalence relation on the set Z. State two equivalence classes