Home
Class 11
MATHS
Let R={(a,b):a,b inN,agtb}. Show that ...

Let `R={(a,b):a,b inN,agtb}.`
Show that R is a binary relation which is neither reflexive, nor symmetric.
Show that R is transitive.

Promotional Banner

Similar Questions

Explore conceptually related problems

Let R={(a,b):a,binN" and "altb}. Show that R is a binary relation on N, which is neither reflexive nor symmetric. Show that R is transitive. Hint Since RsubNxxN , so it is a binary relation on N.

Define a relation R on the set A ={a,b,c} which is neither reflexive nor symmetric and transitive.

Show that the relation R in the set R given by, R = {(a, b): a≤b^2} neither reflexive nor symmetric nor transitive.

Show that R= {(a, b): a ge b} is reflexive and transitive but not symmetric.

Show that the relation S in the set R of real numbers defined as S={(a,b): a, b in R and a le b^(3) } is neither reflexive, nor symmetric, nor transitive.

A relation R is defined on the set of natural numbers N as follows: R={(x,y)|x,yinN " and " 2x+y=41} . Show that R is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R given by : R ={(x, y): x le y^2) is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R given by : R ={(p, q): p le q^2) is neither reflexive nor symmetric nor transitive.

A relation R is defined on the set of natural numbers N as follows: R={(x,y)}|x,y in N and 2x+y=41} show that R is neither reflexive nor symmetric nor transitive.