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Let R be a relation on the set Z of all ...

Let R be a relation on the set Z of all integers defined by:(x,y) in `R implies(x-y)` is divisible by n is eqivalence

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Let R be a relation on the set Z of all integers defined by:(x,y) in R implies(x-y) is divisible by n.Prove that (b) (x,y) in R implies(y,x) in R for all x,y,z in Z .

Let R be a relation on the set N of natural numbers defined by n\ R\ m iff n divides mdot Then, R is

Prove that the relation R in the set of integers z defined by R = { ( x , y) : x-y is an integer } is an equivalence relation.

R is a relation over the set of integers and it is given by (x,y) in R iff |x-y| le 1 . Then R is :

Show thaT the relation R in the set of all integers Z defined by R{(a,b) : 2 divides a-b} is an equivalence relation.

Show that the relation R in the set of all integers, Z defined by R = {(a, b) : 2 "divides" a - b} is an equivalence relation.

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is

Prove that the relation R in the set of integers Z defined by R = {(x,y) : x - y. is an integer) is an equivalence relation.

Solve that the relation R in the set z of intergers given by R={(x,y):2 divides (x-y)} is an equivalence relation.

OSWAAL PUBLICATION-SAMPLE PAPER 7-EXERCISE
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  2. Verify by the method of contradiction that sqrt 5 is irrational.

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