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}
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.