Question

Let A be the non-void set of the children in the family. The Relation 'x' is a brother of 'y' on A is
A.Reflexive
B.Symmetric
C.Transitive
D.None of these

Answer 1

transitive

Answer 2

Yes transitive it is :)

Answer 3

i wanna know HOW :)

Answer 4

yup i agree im a fool

Answer 5

if x is a brother of y and y is a brother of z, x is a brother of z

Answer 6

reflexive: x cannnot be brother of x
symmetric: x can be brother of y, but y can be sister of x .. so not symmetric
transitive: above explained

Answer 7

Thank you :)

Answer 8

Lets say x is a boy, y is a boy and z again a boy.

If x is the brother of y
if y is the brother of z
which means x is the brother of z

x is boy , y is a boy and z is a girl
If x is the brother of y
if y is the brother of z

then x is the brother of z.

Answer 9

I don't then any other case is possible, let me know if I made any mistake.

Answer 10

what if x is a boy
x is brother of y and y is brother of x
so it can be symmetric

Answer 11

It has to be universal.

Answer 12

i meant the other way around
if y is a boy
x is a brother of y and y is brother of x

hmm what universal?

Answer 13

Ok i got it!!

Answer 14

sweet, baby diya :D