Question

If R{(1,1),(2,2),(1,2) is a relation from A to A, A ={1,2,3}.

Prove that R is not reflexive

Answer 1

Reflexive property :- Given a relation R of Set A to set A and a ∈A,then if (a,a) ∈R then the relation R is said to be Reflexive.

Here A ={ 1,2,3}

R ={ (1,1),(2,2),(1,2) }

So, here 1 ∈ A, and (1,1) ∈R

2 ∈ A, and (2,2) ∈ R

But 3 ∈A, but (3,3) ∉R

Hence, R is not reflexive.

Answer 2

Answer:

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find the five rational numbers between 1and 2

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