Let A, B and C be three sets. If A belongs to B and B is the subset of C, is it true that A is also a subset of C ? If not give an example

A is not a subset of C.

 

Consider this example.

A={1}

B={a,b,{1}}

C={a,b,{1},c}

Here, B is the subset of C and A belongs to B, this means that A also belongs to C.

A is just a member of set C, it is not a subset of C