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If B prime is a subset of A prime, is A a subset of B? What is the proof for this?
I know the answer is true, but how do I go about writing the formal mathematical proof for this?
3 Answers
- Mein Hoon NaLv 71 decade agoFavorite Answer
if B' is subset of A' then
if x belongs to B' then x belongs to A'
if x belongs to A then x cannot belong to B' because if x belongs to B' then it belongs to A then x belongs to A and A'
so if x belongs to A the x belongs to B(as it does not belong to B')
so A is subset of B
- yasiru89Lv 61 decade ago
take an element x from one of the sets and detail x, you'll end up with equality, which is what I think the second answerer has given.
