Question: 6. Let Q(x,y) be the statement x + y = x - y, where U consists of all integers. Give the truth value for each


6. Let Q(x,y) be the statement "x + y = x - y", where U consists of all integers. Give the truth value for each of the following propositions. a) Q(1,1) b) Q(2,0) c) Vy Q(1,7) d) 3x Q(x,2) e) 3x 3y Q(x,y) f) x 3y Q(x,y) g) 3y Vx Q(x,y) h) x Vy Q(x,y) 5. Consider the following propositional function: Let F(x,y) be the statement "x can fool y", where U consists of all humans. Express each of the following statements as a proposition. a) Everybody can fool Alan. b) Brianna can fool everybody. c) Everybody can fool somebody. d) There is no one who can fool everybody. e) Everyone can be fooled by somebody. f) No one can fool both Charlie and Donna. g) Evan or Fiona can fool anybody. h) Someone can fool Greg, but not Helen
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