1. Suppose that Q(x) is the statement " x+1=2x." What are the truth values of xQ(x) and xQ(x), why and how? 2. What are the negations of the statements x(x2>2x1) and x(x2=5) ? 3. Translate these statements into English, where C(x) is " x is a comedian" and F(x) is " x is funny" and the domain consists of all people. a) x(C(x)F(x)) b) x(C(x)F(x)) c) x(C(x)F(x)) d) x(C(x)F(x)) 4. Translate each of these statements into logical expressions using predicates, quantifiers, and logical connectives. a) Something is not in the correct place. b) All tools are in the correct place and are in excellent condition. c) Everything is in the correct place and in excellent condition. d) Nothing is in the correct place and is in excellent condition. e) One of your tools is not in the correct place, but it is in excellent condition. 5. Determine whether x(P(x)Q(x)) and xP(x)xQ(x) are logically equivalent. Justify your answer. 6. Translate into English the statement xy((x0)(xy0)) c) xyz(x=y+z)