Not everything here is chatGPT generated, but a lot of it is, no thanks to you.
Yes, that is one of the alt accounts you created, probably will be banned soon...
Because no one writes in slang with proper punctuation and grammar
Have you looked at the official solutions on AoPS?
I think I know which troll (or collection of personalities) you are. It also happens that you have trouble forming coherent sentences so you usually outsource your insults to ChatGPT, which often produces hilarious results such as this.
You have just posted 6 questions within 20 minutes. I understand that you may feel stuck and it is totally ok to ask here, but it really looks like you are just spamming your homework on here for us to solve.
Please don't post AoPS Beast Academy questions.
This solution is completely nonsensical.
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.
Ptolemy has nothing to do with this problem. Also, 5 - 25/6 = 5/6 < 25/6 so clearly that cannot be BP.