Question: Let D = { objects }. Let P(x) be the predicate x is a car. Let Q(x) be the predicate x has a flat tire.

Let D = { objects }. Let P(x) be the predicate "x is a car". Let Q(x) be the predicate "x has a flat tire". Let R(x) be the predicate "x is in the parking lot". Let S(x,y) be the predicate "x and y are the same object". Write the following in symbolic notation. Simplify if possible. a) If an object has a flat tire and is in the parking lot then it is not a car. b) Either something has a flat tire and is not a car, or something is not in the parking lot. c) Only cars are in the parking lot. d) All cars have flat tires. e) There is at most one car. Translate the following symbolic notation into English: f) x P(x) x Q(x) g) (() ())

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