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Explain solution for RD Sharma Class 12 Chapter Relation Exercise 1.1 Question 18 Subquestion (i) Maths textbook solution.

Answers (1)

Answer : Transitive

Hint :

A relation R on set A is

Reflexive relation:

If  (a, a) \in R for every a \in A

Symmetric relation:

If (a,b) is true then (b,a)  is also true for every a, b \in A

Transitive relation:

If  (a,b) and (b, c) \in R then (a, c) \in R  for every a, b, c \in A

Given : x>y, x, y \in N(x, y) \in\{(2,1),(3,1) \ldots \ldots(3,2),(4,2) \ldots\}

Solution :

This is not reflexive as (1,1),(2,2) \ldots \ldotsare absents.

This is not symmetric as (2,1) is present but (1,2) is absent

This is transitive as (3,2) \in R \text { and }(2,1) \in R \text { also }(3,1) \in R

Hence, this relation is not satisfying reflexivity and symmetricity.

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