Home
Class 12
MATHS
Show that the relation R in the set {1,...

Show that the relation R in the set `{1, 2, 3}`given by `R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)}`is reflexive but neither symmetric nor transitive.

Text Solution

AI Generated Solution

To show that the relation \( R \) in the set \( \{1, 2, 3\} \) given by \[ R = \{(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)\} \] is reflexive but neither symmetric nor transitive, we will analyze each property step by step. ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the relation R on the set A={1,2,3} given by R={(1,1),(2,2),(3,3),(1,2),(2,3)} is reflexive but neither symmetric nor transitive.

Let A={1,2,3} and R={(1,1),(2,2),(3,3),(1,2),(2,3)}. show that R is reflexive but neither symmetric nor transitive .

The relation in the set A = {1, 2, 3} given by R = {(2,3),(3,2),(1,1)} is:

The relation R on the set A = {1, 2, 3} defined as R ={(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

Show that the relation R in the set {1, 2, 3} defined as: (a) R={(1,2),(2,1)} is symmetric, but neither reflexive nor transitive (b) R={(1,1),(2,2),(3,3),(1,2),(2,3)} is reflexive, but neither symmetric nor transitive (c ) R={(1,3),(3,2),(1,2)} is transitive, but neither reflexive nor symmetric.

If R is a relation on the set A={1,\ 2,\ 3} given by R=(1,\ 1),\ (2,\ 2),\ (3,\ 3) , then R is (a) reflexive (b) symmetric (c) transitive (d) all the three options

Show that the relation R in the set {1,2,3} given by R={(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

Show that the relation R on the set A={1,2,3} given by R={(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

Check whether the relation R={(1,1),(2,2)(3,3),(1,2),(2,3),(1,3)} is reflexive,symmetric and transitive or not.