Home
Class 11
MATHS
Let A={1,2,3}" and "R={(1,2),(2,2),(3,1)...

Let `A={1,2,3}" and "R={(1,2),(2,2),(3,1),(3,2)}.` Show that R is a binary relation on A. Find its domoin and range.

Text Solution

Verified by Experts

`R={(1,2),(2,2),(3,1),(3,2)}.`
Clearly, `RsubAxxA` and so R is a relation on A.
Dom (R)=set of first coordinates of elements of `R={1,2,3}.`
Range (R)=set of second coordinates of elements of `R={1,2}.`
Hence, dom `(R)={1,2,3}` and range `(R)={1,2}.`
Promotional Banner

Similar Questions

Explore conceptually related problems

Let A={2,3,5}" and "R={(2,3),(2,5),(3,3),(3,5)}. Show that R is a binary relation on A. Find its domain and range.

Let A={1,2,3}and Let R={(1,1),(2,2),(3,3),(1,3),(3,2),(1,2)} then R is

Let A={1,2,3} and R={(1,1),(1,3),(3,1),(2,2),(2,1),(3,3)} ,then the relation R on A is:

Let A={1,2,3}" and define" R={(a,b):a-b=12} . Show that R is empty relation on Set A.

Let N be the set of all natural numbers. Let R={(a,b):a,b inN" and "2a+b=10} . Show that R is a binary relation on N. Find its domain, range and co-domain.

Let A={1,2,3} and Let R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}. then ,R is

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 .