1. Convert the following statement to a quantified expression, negate it, and convert the answer back to English. You will end up with the exact opposite concept.

All cats are asleep.

2. Convert the following statement into a quantified expression:

Everyone, who has seen Deadpool, likes chimichangas .

3. Simplify the following Quantified Statement. The result should have no negation symbols. ?x ?x (G(x) ? H(x) )

4. Prove the following using induction (show your work- both steps):

If x?2then2+4+6+...+2n = n(n+1)