select the best English interpretation of the given statements of predicate logic.
f: Fifi
g: Gigi
Px: x is a poodle Qx: x is abused
Rx: x is loved
Sx: x will fetch balls
Tx: x will fetch sticks.
-(∀x){(Px • Qx) ⊃ [(Rx ⊃ (∼Sx ⊃ Tx)]}
A) All abused poodles are loved only if they will fetch sticks and will not fetch balls.
B) No abused poodles will fetch sticks if they will fetch balls, and if they are loved.
C) All abused poodles, if they are loved, will fetch sticks if they will not fetch balls.
D) All abused poodles are loved if they will fetch sticks or balls.
E) No abused poodles will not fetch balls, if they fetch sticks and are loved.

Question

select the best English interpretation of the given statements of predicate logic. 
f: Fifi
g: Gigi
Px: x is a poodle Qx: x is abused 
Rx: x is loved
Sx: x will fetch balls 
Tx: x will fetch sticks.
-(∀x){(Px • Qx) ⊃ [(Rx ⊃ (∼Sx ⊃ Tx)]}
A) All abused poodles are loved only if they will fetch sticks and will not fetch balls.
B) No abused poodles will fetch sticks if they will fetch balls, and if they are loved.
C) All abused poodles, if they are loved, will fetch sticks if they will not fetch balls.
D) All abused poodles are loved if they will fetch sticks or balls.
E) No abused poodles will not fetch balls, if they fetch sticks and are loved.

Quizplus · Accepted Answer

The statement can be translated as "For all x, if x is a poodle and x is abused, then if x is loved, then if x will not fetch balls, then x will fetch sticks." Therefore, all abused poodles, if they are loved, will fetch sticks if they will not fetch balls.

Select the Best English Interpretation of the Given Statements of Predicate