Math, asked by amitagnidev, 11 months ago

Question 12 . Plz solve it

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Ankitgodara20: hii amita

Answers

Answered by dhruvsh

The relation demands an ordered pair with demand of two operands which belong to set of infinite Natural numbers such that (a,b) where a>b.

Obviously, this is a binary relation since, there is a requirement of two operands for operation.

Now,

coming to the check for properties of the relation.

For reflexive, obviously suppose I pick a number 5

Obviously, the fact is that 5 cannot be greater than 5 itself which doesn't follow the relationship demand.

Therefore, the relation is not reflexive.

For the check of symmetric.

Suppose I say, 5>3 holds the relation.

However, 3>5 is false and thus, is not symmetric in nature and ultimately the relation is not symmetric.

Now, for check of transitive :

Suppose I say 5>3 and then 3>1

Obviously, 5>1 and thus the relation holds true meaning that the relation is transitive in nature

dhruvsh: Ohk

dhruvsh: Can I teach you?

amitagnidev: Whenever I start to solve this question it creates confusion

dhruvsh: Or rather try reading theory in RS Aggarwal itself

amitagnidev: Ya u can

dhruvsh: Tell me specifically, where do you face the difficulty?

dhruvsh: Are you clear with the idea of reflexive, symmetric and transitive relations?

amitagnidev: No

dhruvsh: Ohk, shall I inbox you ?

amitagnidev: Yes

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