Answers

1. "For all x in P, x is even."
   
   True. Every element in set P is even.
   
   
2. "All elements in set Q are prime."
   
   False. 9 and 1 are not prime.
   
   
3. "There exist some x in P such that x times 2 is less than 10."
   
   True. The elements 2 and 4 make this statement true, since 2 * 2 = 4, 2 * 4 = 8, and both 4 and 8 are less than 10.
   
   
4. "There is at least one element y in Q, where y equals its square."
   
   True. 1 = 1².
   
   
5. "For all x in P, there exists some y in Q such that x + 1 < y."
   
   False. This works for all elements in P except 10 (since 10 + 1 = 11, but is not less than 11).