Find two sets A and B such that A is an element of B and...

cherzywerzyw7b

cherzywerzyw7b

Answered

2022-12-20

Find two sets A and B such that A is an element of B and A B. I want to know can A={1,2,3} and B={1,2,3} work

Answer & Explanation

bleustggv

bleustggv

Expert

2022-12-21Added 8 answers

No, they can't be equal, because (under the normal axioms for sets) a set cannot belong to itself.
kapitlio0z

kapitlio0z

Expert

2022-12-22Added 2 answers

Let  A = { 1 , 2 , 3 } , B = { 1 , 2 , 3 , { 1 , 2 , 3 } }
A = { 1 , 2 , 3 } { 1 , 2 , 3 , { 1 , 2 , 3 } }
A = { 1 , 2 , 3 } { 1 , 2 , 3 , { 1 , 2 , 3 } }

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