Relations

Question

My explanation I have provided, Please rectify the mistake where I am going wrong :)

Comments

Please correct me where I am going wrong , Thank you :)

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Ans 27?

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@ srestha They have provided ans as option ( D)

Will you explain the approach please.

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i hope this images helps

 

Answer 1

Option d is right

 

Comments

But if the set has numbers from 1 to n (Say)

For a relation to be reflexive, all (x,x) for x=1..n should be in relation.

Any one of them missing in relation will make it irreflexive.

However, in asymmetric, there should be no (x,x) relation. So I guess we cannot say that.

Please correct me if I'm wrong.

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but definition of irreflexive is No $\left ( x,x \right )$ element will be present there

Any $\left ( x,x \right )$ is present then it is not irreflexive and nor even reflxive

right?

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Oops, my mistake.

Sets who contain at least all (x,x) pairs are reflexive

Sets who do not contain any (x,x) pair are irreflexive

Sets who have few (x,x) pairs are neither reflexive nor irreflexive