Rewrite the statement “No good cars are cheap” in the form “∀x, if P(x) then ~Q(x).” Indicate whether each of the following arguments is valid or invalid, and justify your answers.
a. No good car is cheap.
A Rimbaud is a good car.
∴ A Rimbaud is not cheap.
b. No good car is cheap.
A Simbaru is not cheap.
∴ A Simbaru is a good car.
c. No good car is cheap.
A VX Roadster is cheap.
∴ A VX Roadster is not good.
d. No good car is cheap.
An Omnex is not a good car.
∴ An Omnex is cheap.
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