(10 marks) The domain for the variables x and y are the set of soccer and baseba

Question

(10 marks) The domain for the variables x and y are the set of soccer and baseball players at the

university.

S(x): x plays a soccer

B(x): x plays a baseball

P(x, y): x practices more than y

Give a quantified expression that is equivalent to the following English statements:

a)

Someone in the university plays soccer and baseball.

b)

There is a baseball player who practices more than all the soccer players.

c)

All the soccer players practice more than all the baseball players.

d)

Exactly one person practices more than Sam.

e)

Sam practices more than anyone else in the university

Explanation / Answer

a) x (S(x) B(x))
b) x y (B(x) S(y) --> P(x,y))
c) x y(S(x) B(y) --> P(x,y))
d) x P(x,SAM)
e) y P(SAM,y)

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