differentiate set,subset,propersubset.give an example of each

Question

Subset and proper subset

Answer 1

 If A and B are sets, and if every element of A is an element of B,

we say that A is a subset of B,

and write A⊂B .

If, in addition,

there is an element of B which is not in A,

then A is said to be a proper subset of B

in short

 If A = {1,2} and B= {1}.. 

A subset can be the set itself, like A is a subset of A or B is a subset of A. A subset means that it is contained within something. 

A proper subset on the other hand means that the subset is not the set itself. So A is not a proper subset of A. Taking the above example and that B is not A, then B would be a proper subset of A.