(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let A = {x: x^2 + 3x + 2 <0}. Prove that this set is non-empty and bounded above. What is the least upper bound? Is it bounded below?

3. The attempt at a solution

Well, solving for the zeros and understanding that between the zeros, we satisfy our values of x's, I have that the set is (-2,-1) which has both an upper bound and lower bound. The least upper bound would be -1 as well.

I understand what's it's asking, but I'm having trouble writing a proof and would like it if I could perhaps have proof-writing tips.

Thank you so much for your help and tips in advance! :)

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# Proving that a set is non-empty and bounded above.

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