QUESTION 5 Let P(x; y) : x plays in y A(x) : x is athletic. S(x) x is smart. E(y) : y is in English league. F(y) : y is famous. Assume the domain of x is all players and the domain of y is all football teams. The symbolic of the following sentence : "All smart and athletic players play in some English league teams" O 1. Vx3y S(x) A(x) ^ Ely) ^ P(x,y) 2. None of all the proposed answers O 3. Vx3y S(x) ^ A(x)→ E(y) ^ P(x,y) O 4. Vx3y S(x) ^ A(x) v E(y) → P(x,y) O 5. Vx3y S(x) ^ A(x) ^ Ely) → P(x,y)
QUESTION 5
Let P(x; y) : x plays in y
A(x) : x is athletic.
S(x) :x is smart.
E(y) : y is in English league.
F(y) : y is famous.
Assume the domain of x is all players and the domain of y is all football teams.
The symbolic of the following sentence : "All smart and athletic players play in some English league teams"
1.
for all x there exists y space S left parenthesis x right parenthesis logical and A left parenthesis x right parenthesis logical and E left parenthesis y right parenthesis logical and P left parenthesis x comma y right parenthesis
2.
None of all the proposed answers
3.
for all x there exists y space S left parenthesis x right parenthesis logical and A left parenthesis x right parenthesis rightwards arrow E left parenthesis y right parenthesis logical and P left parenthesis x comma y right parenthesis
4.
for all x there exists y space S left parenthesis x right parenthesis logical and A left parenthesis x right parenthesis logical or E left parenthesis y right parenthesis rightwards arrow P left parenthesis x comma y right parenthesis
5.
for all x there exists y space S left parenthesis x right parenthesis logical and A left parenthesis x right parenthesis logical and E left parenthesis y right parenthesis rightwards arrow P left parenthesis x comma y right parenthesis
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