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I'm intrested in remebering the logic of these question types. When presented with a question such as: 

 

x (is an element of) {x} 

 

Is that neccessairly true? I would like to think it is since whatever x is, it is might be in the set that contains the element x. {x}

 Sep 7, 2023
edited by HiylinLink  Sep 7, 2023
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Yes, \(x\) is always an element of \(\{x\}\). However it is important to note that \(\{x\}\) is not an element of \(\{x\}\) but rather an (improper) subset. 

 Sep 8, 2023

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