Question

- let x ={1,2,3,4} and Y= {2,4,6,8,109 and - {01.23 (214) (3,6) (4,8)} show that R is a function and find its domain, co-domain and range​

Answer 1

R

1

={(x,y):y=2+x,x∈X,y∈Y}

x=1→y=1+2=3

x=2→y=2+2=4

x=3→y=3+2=5

x=4→y=4+2=6

x=5→y=5+2=7

R={(1,3),(2,4),(3,5),(4,6),(5,7)}

Here in(4,6) ,6 does not belong to either XorY

So R

1

is not a relation between X and Y

In R

4

, since it contains an element (7,9) which relates set Y to set Y, while rest elements relate set X to Y.

∴R

4

is not a relation between X and Y