Question

if A is subset of B ,B is subset of C ,Cis subset of A then prove that A=C

Answer 1

A is a subset of B.

B is a subset of C.

=> A is also a subset of C. This can be said by the reflexive relation rule.

Also it is given that, C is a subset of A.

Since both are a subset of each other, we can say that they are a symmetrical relation. Hence we can say that, Set A = Set C.

Hope my answer helped !

Answer 2

as A is sub set of B
B is subset of C
so A is subset of C
but C is subset of A
so this is only possible if A=B
hence proved.