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 Jan 31 comment Solving equations that contain summations I'm still working through what you're saying here. It takes me a long time to make sense of things like this since I'm new to them, and there's a bit of math anxiety starting to creep up on me (which is not something I'm used to, either). Jan 31 comment Solving equations that contain summations This seems to be exactly what I'm looking for, but I'd like some more information on why that can be done. I can see what you did, but I have no idea why that can be done. I think there is something about summations that I don't understand yet. Jan 31 comment Solving equations that contain summations @DavidMitra That post is very helpful, and I think I will have a solid grasp on this if you could further explain how you got from $\displaystyle\sum\limits_{i=1}^n (4+2i)$ to $4n + 2\displaystyle\sum\limits_{i=1}^n i$. Jan 31 comment Solving equations that contain summations No, but it is certainly something I could research. Jan 31 asked Solving equations that contain summations Jan 28 awarded Teacher Jan 28 comment What is this set theory question even asking me? @AndréNicolas - Yes, I did transfer Matthew's comment into an answer, but I wasn't concerned with credit, I was just wanting to wrap up the question so those answering could help others. I'm glad I wasn't able to accept it right away, though, as much more insight has been provided on this problem since then. Jan 28 comment What is this set theory question even asking me? @AndréNicolas - The edits you have made now include the answer, and since Matthew only commented, you've got the credit. Thanks very much! Jan 28 accepted What is this set theory question even asking me? Jan 28 comment What is this set theory question even asking me? @gnometorule - That's what I came up with based on what Matthew told me as well. Andre helped me with coming up with some of the combinations that would be used in the formula, but I wasn't sure what to do with them since what I didn't know is that the question wanted me to find the value of n such that one quarter of the sets would include a 7. Jan 28 answered What is this set theory question even asking me? Jan 28 comment What is this set theory question even asking me? Thanks to Matthew who commented above I know what it's asking me to do. You're answer, though very helpful, didn't really answer what I was supposed to be doing, but guided me towards the first steps to find that answer. I certainly appreciate the response, though! Jan 28 comment What is this set theory question even asking me? @Matthew That's exactly the information I was looking for. If you had posted this as an answer instead of a comment I'd be marking this as answered by you. Thanks. Jan 28 asked What is this set theory question even asking me? Jan 27 comment How to verify if a compound logical statement is a tautology using substitution Ah, okay. I actually remember reading that one, but I didn't see how to apply the concept here. I've been rushing to learn enumeration/combinatorics, first-order logic, and set-theoretic concepts. I was given one week to familiarize myself with these concepts and do an assignment that has four questions in each category. I guess I haven't had the time to focus on one concept long enough for everything to stick. This is by far the most difficult course I've ever taken, lol. Thanks again for the help. Jan 27 comment How to verify if a compound logical statement is a tautology using substitution Also, as a supplemental question, was I correct when I determined that it could not be further simplified? Jan 27 accepted How to verify if a compound logical statement is a tautology using substitution Jan 27 comment How to verify if a compound logical statement is a tautology using substitution Okay, I revisited my truth table and you're right, I messed up that part. Turns out I actually know what I'm doing (even if it doesn't feel like I do), I just made a careless mistake. Thanks a ton, Johannes. Jan 27 asked How to verify if a compound logical statement is a tautology using substitution Jan 24 awarded Supporter