Question

Determine the truth value of each simple statement. Then using the truth values, determine the truth...


Determine the truth value of each simple statement. Then using the truth values, determine the truth value of the compound statement.
1. If the moon circles the earth and the earth circles the sun, the moon is made of cheese.
2. Honda makes automobiles or Honda makes motorcycles, if and only if Mazda makes cereal.

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Homework Answers

Answer #1

Q1

P:the moon circles the earth(T)

Q:the earth circles the sun(T)

R:the moon is made of cheese(F)

: the moon circles the earth and the earth circles the sun. (T)

That is is False Hence the compound statement

If the moon circles the earth and the earth circles the sun, the moon is made of cheese is FALSE.

Q.2.

P:Honda makes automobiles(T)

Q:Honda makes motorcycles (T)

R: Mazda makes cereal(F)

: Honda makes automobiles or Honda makes motorcycles (T)

That is

is False.

Therefore the compound statment Honda makes automobiles or Honda makes motorcycles, if and only if Mazda makes cereal is False.

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