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 , forall a in N`(ii) `(a , b) in R , i m p l i e s (b , a) in R`(iii) `(a , b) in R , `(b , c) ∈ R implies (a , c) ∈ R .

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 a relation defined by R = {(a, b) : a ge b }, where a and b are real numbers, then R is

Let R be the relation in set N, given by R= {(a,b): a = b-2,b gt 6} . Then,

Let R be the relation on Z defined by R = {(a , b): a , b in Z , a b is an integer}.Find the domain and range of R.

Let R be a relation from Q to Q defined by R={(a,b):a,b in Q and a,b in Z}. Show that {a,a) in R for all a in Q , {a,b} in R implies that {b,a} in R, {a,b} in R and {b,c} in R implies that {a,c} in R

Let R_(1) be a relation defined by R_(1)={(a,b)|agtb,a,b in R} . Then R_(1) , is

Let the relation R be defined in N by aRb, if 2a + 3b = 30. Then R = …… .

Let A=[3,4] and B[7,11] and R be the relation from A to B defined as R={(a,b): a in A, b in B, a-b is odd then

Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ if\ (a , b),(c , d) in NxxN then 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