Q.10 Give an example of a relation.

(ii) Which is transitive but neither reflexive nor symmetric.

Answers (1)

Let  

R = \left \{ \left ( x,y \right ): x> y \right \}

Now for x\in R ,(x,x)\notin R so it is not reflexive.

Let (x,y) \in R  i.e. x> y

Then y> x is not possible i.e. (y,x) \notin R . So it is not symmetric.

Let (x,y) \in R  i.e. x> y    and  (y,z) \in R i.e.y> z

we can write this as x> y> z

Hence,x> z  i.e. (x,z)\in R. So it is transitive.

Hence, it is transitive but neither reflexive nor symmetric.

 

 

 

 

Preparation Products

Knockout NEET Sept 2020

An exhaustive E-learning program for the complete preparation of NEET..

₹ 15999/- ₹ 6999/-
Buy Now
Rank Booster NEET 2020

This course will help student to be better prepared and study in the right direction for NEET..

₹ 9999/- ₹ 4999/-
Buy Now
Knockout JEE Main Sept 2020

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 12999/- ₹ 6999/-
Buy Now
Test Series NEET Sept 2020

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 4999/- ₹ 2999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 11999/-
Buy Now
Exams
Articles
Questions