let A, B, C be three sets. If A belongs to B and B is the subset of C, is it true that A is the subset of C? if not give an example.
Are you sure you mean "A belongs to B"? If yes, it would mean set A is an element of set B. That is, . Then, since it means that set A is also an element of set C. That is, . So, set A cannot be a subset of set C, as it is an element of set C.
For example, say
Here,
However, if you mean "A is a subset of B and B is a subset of C", then yes, it is true that A is a subset of C. That is, .
For example, say
Here,
However, if you mean "A is a subset of B and B is a subset of C", then yes, it is true that A is a subset of C. That is, .