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

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 } }

Answered: "Find two sets A and B such that..."

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cherzywerzyw7b

Answered question

2022-12-20

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

A \subseteq B

. I want to know can A={1,2,3} and B={1,2,3} work

Answer & Explanation

bleustggv

Beginner2022-12-21Added 8 answers

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

kapitlio0z

Beginner2022-12-22Added 2 answers

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

A = {1, 2, 3} \in {1, 2, 3, {1, 2, 3}}

A = {1, 2, 3} \subseteq {1, 2, 3, {1, 2, 3}}

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