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What is the difference between improper subset and equal sets?
There is no difference between improper subset and equal sets. If A is an improper subset of B then A = B. For this reason, the term "improper subset" is rarely used.
What the example of improper subset?
If you have a set S, the only improper subset of S is S itself. An improper subset contains all elements of S and no others. It is therefore equivalent to S. For example if S ={1,2,3} then the improper subset is {1,2,3}, and an example proper subset is {1,2}.
Is empty set an improper subset or not?
no
Is empty set an improper subset?
Recall that Improper subset of A is the set that contains all and only elements of A. Namely A. So does the empty set have all of A provided A is not empty? Of course not! The empty set can be only considered an improper subset of itself.
What is the difference between proper and improper subsets?
S is a proper subset of T ifall elements of S are in T andthere is at least one element of T which is not in S.S is an improper subset if the second condition does not apply.
