Find set A and B (neither are empty)
we want A is a subset of B to be true and
A is an element of B is true.
A ={3} and B = {3, 4}
So A is a subset of B
But now I am worried about the notation for A to be an element of B.
I think of have seen some sets with sets inside of sets.
Do I have to write B as {{3},{4}}? Is that right?
Now, I think the answer is A ={3} and B could = {3, {3}, 5)
unusual, but works for me
To determine if A is an element of B, you need to check if the entire set A is one of the elements of set B. In this case, A = {3} and B = {3, 4}. Since set A is distinct from the elements of B, A is not an element of B.
The notation you mentioned, { {3}, {4} }, represents B as a set containing two sets: {3} and {4}. This notation is used for cases where you have sets inside sets. However, in your case, B is simply a set containing individual elements {3} and {4}. Therefore, you do not need to write B as {{3}, {4}} since it is not a set of sets.