50) Let S be the set of integers. If a, b ? S, define aRb if a + b is even. Prove that R is an equi…

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Let I be the set of all integers. Let a relation aRb (a,b€l) be defined if a - b an even integer.

Let S be the set of integers. For `a,b in S` relation R is defined by aRb If `|a-b| lt 1` th

Let S denote set of all integers. Define a relation R on S \'aRb if `ab ge 0` where `a, b in S`.

Let `R={(a,b):a,b inZ\" and \"(a-b)\" is even\"}.`

Let I be the set of all integers. Let a relation aRb be defined if a-b is an even integer .

Proving a Relation is an Equivalence Relation | Example 2

Let Z be the set of integers. Show that the relation R={(a ,\ b): a ,\ b inZ and a+b is even} is...

Let `n` be a fixed positive integer. Let a relation `R` be defined on `Z,` as `aRb` if `n` is