cherzywerzyw7b

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

bleustggv

Expert

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

kapitlio0z

Expert

$A=\left\{1,2,3\right\}\in \left\{1,2,3,\left\{1,2,3\right\}\right\}$
$A=\left\{1,2,3\right\}\subseteq \left\{1,2,3,\left\{1,2,3\right\}\right\}$

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