Show that R={ (a,b) if a-b is an integer} is an equivalence relation on Z @LearnoHubClass1112

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Show that the relation R={(a, b):a, b ∈Z and a + b is even } is an equivalence relation on Z Show that the relation R={(a, b):a, b ∈Z and a + b is even } is an equivalence relation on Z
Prove an Equivalence Relation on the Integers ℤ Prove an Equivalence Relation on the Integers 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 •••
Relation R in the set Z defined as R={(x, y):y=x-y is an integer} Reflexive, Symmetric, Transitive Relation R in the set Z defined as R={(x, y):y=x-y is an integer} Reflexive, Symmetric, Transitive
Let `n` be a fixed positive integer. Let a relation `R` be defined on `Z,` as `aRb` if `n` is Let `n` be a fixed positive integer. Let a relation `R` be defined on `Z,` as `aRb` if `n` is
#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.
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.
Show that the relation R in the set Z of integers given by R={a, b): 2 divides a-b } is an equivalen Show that the relation R in the set Z of integers given by R={a, b): 2 divides a-b } is an equivalen