Question

plse answer this question

Answer 1

yeah

Answer 2

how

Answer 3

I don't see the question

Answer 4

oh wait... I see...

Answer 5

Is the empty set a proper subset of a set... that question?

Answer 6

yes

Answer 7

Definition of a proper subset... A is a proper subset of B if and only if all elements of A are elements of B, and there are elements in B that are not in A.

Answer 8

So... let's take a non-empty set, S.
Is the null set a subset of S?

Well, suppose not. Then there exists an element of the null set that is not an element of S.
Contradiction~ the null set should not even have elements to begin with.

Thus, the null set is a subset of S.
But is it a proper subset?

Yes. Since S is non-empty, it has at least one element, x. x is not in the null set, by definition, thus S has an element which is not in the null set, therefore the null set is a proper subset of S. Case closed :)

Answer 9

@terenzreignz
thanks bro

Answer 10

No problem :)