A relation R is defined on the set of integers Z as follows:
`R{(x,y):x,y in Z and x-y" is odd"}`
Then the relation R on Z is -

A relation R is defined on the set of integers Z Z as follows R= {(x,y) :x,y inZ Z and (x-y) is even } show that R is an equivalence relation on Z Z .

A relation R is defined on the set of all integers Z Z follows : (x,y) in "R" implies (x,y) is divisible by n Prove that R is an equivalence relation on Z Z .

A relation R is defined in the set Z of integers as follows (x, y ) in R iff x^(2) + y^(2) = 9 . Which of the following is false ?

A relation R is defined on the set Z of integers as follows. R ={ (x, y) in R: x^2+y^2=2 5} Express R and R^-1 as the sets of ordèred pairs and hence find their respective domains.

A relation R is defined on the set z of integers as follows : (x,y) in RR hArr x^(2) +y^(2) = 25 . Express R and R^(-1) as the set of ordered pairs and hence find their respective domains.

A relation R is defined from the set of integer Z to Z as follows: (x,y) in Z hArr x^(2) + y^(2)=25 (i) Express R and R^(-1) as the set of ordered pairs. (ii) Write the domain of R and R^(-1) .

A relation R is defined from the set of integer Z to Z as follows: (x,y) in Z hArr x^(2) + y^(2)=25 (i) Express R and R^(-1) as the set of ordered pairs. (ii) Write the domain of R and R^(-1) .

A relation R on the set of integers Z is defined as follows : (x,y) in R rArr x in Z, |x| lt 4 and y=|x|

A relation R is defined on the set Z of integers as: (x ,y) in R x^2+y^2=25 . Express Ra n dR^(-1) as the sets of ordered pairs and hence find their respective domains.