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3. Let Dobjects Let P(x) be the predicate x is a car. Let 0(x) be the predicate x is in the garage. Let R(x) be

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3. Let Dobjects Let P(x) be the predicate "x is a car". Let 0(x) be the predicate "x is in the garage". Let R(x) be the predicate "x has a broken window" Let S(x.y) be the predicate "x and y are the same object". Write the following in symbolic notation. Simplify if possible something has a broken window a) If and is in the garage then it is not a car b) There is exactly one car. c) There are at least two broken windows. d) Cars have broken windows. e) There is at most one car f) Only cars are in the garage ) Either something has a broken window and is not a car, or something is not in the garage Translate the following symbolic notation into English: h) Vx (R(x)x)) i) x (P(x) Q(x)) j) x P(x) 3xR(x)

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