Select the Best Translation into Predicate Logic, Using the Following

select the best translation into predicate logic, using the following translation key:
b: Britain
c: Charles
e: Elizabeth
t: Tescos
Px: x is a person
Qx: x is a Queen of England
Wx: x is a woman
Exy: x is more exalted than y
Ixy: x is in y
Pxy: x shops at y
Sxy: x is a son of y
-All people in Britain shop at Tescos, except Elizabeth.

A) Pe • Ieb • ~Pet • (∀x) [(Px • Ixb • x≠e) ⊃ Pxt]
B) Pe • Ieb • ~Pet • (∀x) [(Px • Pxt • Ixb) ⊃ x≠e]
C) Pe • Ieb • ~Pet • (∀x) [(Px • Pxt • x≠e) ⊃ Ixb]
D) Pe • Ieb • ~Pet • (∀x) [(Px • Ixb) ⊃ Pxt]
E) Pe • Ieb • ~Pet • (∀x) [(Px • Pxt) ⊃ Ixb]

Correct Answer:

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