Let R be the relation in the set `A={1,2,3,4}` given by `R={(a,b):|a-b|` is odd number } Write all the elements of 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 in the set N given by R = {a,b):a is a multiple of b} .Then :

Show that the relation R in the set A={1,2,3,4,5} given by R={(a,b):|a-b| is even }, is an equivalence relation.

Let R be the equivalence relation in the set A={0,1,2,3,4,5} given by R={(a,b):2 divides (a-b)}. Write the equivalence class [0]

Let R be the relation in the set N given by R = { (a,b), a - b = 5, a le 6}. Then :

Show that the relation R in the set A={1,2,3,4,5} given by R={(a,b):|a b | is divisible by 2} is an equivalence relation.Write all the quivalence classes of R .

Prove that the relation R in the set A={1,2,3,4,5,6,7} given by R={(a,b):|a-b|iseven} is an equivalence relation.

show that R is an equivaence relation R defined on the set S={1,2,3,4,5} given by R={(a,b):|a-b| is even } is an equivalence relation .

Is the relation R in the set A={1,2,3,4,5} defined as R={(a,b):b=a+1} reflexive ?