Let R be a relation from N to N defined by `R = {(a , b) : adot b in N`and `a=b^2`). Are the following true?(i) `(a , a) in R , for a l l a in N`(ii) `(a , b) in R , i m p l i e s (b , a) in R`(iii) `(a ,

Let R be a relation in N defined by R={(a , b); a , b in N\ a n d\ a=b^2dot} Are the following true: (i)\ (a , a) in R\ AA\ a in N (ii)\ (a , b) in R=>(b , a) in R (iii)\ (a , b) in R ,(b , c) in R=>(a , c) in R

Let R be the relation in the set N given by R = {(a,b):|a-b| is odd}. Then:

Let R be the relation of the set Z of all integers defined by : R = {(a,b) : a, b in Z and (a-b) " is divisible by " n in N} Prove that : (i) (a,a) in R for all a in Z (ii) (a,b) in R rArr (b,a) in R for all a, b in Z (iii) (a,b) in R and (b,c) in R rArr (a,c) in R " for all" a,b,c in Z

Let R be the relation in the set N given by R = {a,b):a is a multiple of b} .Then :

Let R be a relation in a set N of natural numbers defined by R = {(a,b) = a is a mulatiple of b}. Then:

Let R be a relation on NxxN defined by (a , b) R(c , d)hArra+d=b+c for a l l (a , b),(c , d) in NxxN show that: (i) (a , b)R (a , b) for a l l (a , b) in NxxN (ii) (a , b)R(c , d)=>(c , d)R(a , b)for a l l (a , b), (c , d) in NxxN (iii) (a , b)R (c , d)a n d (c , d)R(e ,f)=>(a , b)R(e ,f) for all (a , b), (c , d), (e ,f) in NxxN

Let R be a relation on the set N given by R={(a ,\ b): a=b-2,\ b >6}dot Then, (2,\ 4) in R (b) (3,\ 8) in R (c) (6,\ 8) in R (d) (8,\ 7) in R

Let R be the relation on the set N of natural numbers defined by R={(a ,b): a+3b=12 ,a in N ,b in N}dot Find : (i) R (ii) Dom a inofR (iii) R a ngeofR