Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

show that the relation R in the set {1,2,3} givwn by R = {(1,2) (2,1)} is symmetic but neither reflexive nor tresitive.

show that the relation R in the set {1,2,3} givwn by R = {(1,2)
(2,1)} is symmetic but neither reflexive nor tresitive.

Grade:

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
"Reflexive" means that (a, a) is included for every element a in A.
"Symmetric" means that if (a, b) is included, then (b, a) is also included.
"Transitive" means that if (a, b) and (b, c) are included, then (a, c) is also included
In the above given relation R{1,2,3} givwn by R = {(1,2) (2,1)}
If (a, b) is included, then (b, a) is also included
Hence it is only symmetric but not transitive and reflexive
Thanks and Regards
Shaik Aasif
askIITians faculty

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free