1. (18 points) Determine if the following propositions are TRUE or FALSE. Note that p, q, r are propositions. P(x) and P(x,y) are predicates. If 2 + 2 = 5 and 1 + 2 = 3, then 10 + 5 = 14 or 3 + 2 = 5. 13+4 = 2 if and only if 2 + 3 = 5. (7> 6" A "2 * 3 = 6") V"3>5" pvF=p, where p is a proposition and T is tautology. pVq = p 13 x P(x) is equivalent to 3 x P(x). _3 x 3 y P(x, y) is equivalent to 3 y 3 x P(x,y). 3 y Vx P(x,y) is not equivalent to V x 3 y P(x,y). "1 + 2 = 3" XOR 3+3 = 6" - ( pq^r) = p. Ar pVqAF = F, where F is contradiction. A proposition is also a propositional function