Wrong hint 1 and solution?
Fragment of a discussion from Science talk:Math Exam Resources/Courses/MATH220/April 2005/Question 01
I agree with your comment on Hint 1 and the solution. Can we just edit it our way?
Moreover, hint 2, in the setting of an exam hint, is just inappropriate too. It's not as if we're learning negation for the first time and need analogies. A proper hint to this question should be helping students to:
first, identify the premise (A) and conclusion (B) statements, second, identify the order of existential and universal quantifiers within both A and B and what sub-statements they quantify
Then for the solution, we do:
thirdly, apply negation judiciously to obtain the negation statement with A and not B, then
finally, rephrase the statement for linguistic elegance.