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Translation Worksheet

P = It is raining

Question #1

P

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It is either snowing or windy

P = It is snowing

Q = It is windy

Question #2

P v Q

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If it is sunny, then it is not the case that it is raining

P = It is sunny

Q = It is raining

Question #3

P → ~Q

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Either it is snowing or it is raining, but not both

P = It is snowing

Q = It is raining

Question #4

(P v Q) ^ ~(P ^ Q)

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If the door is closed and locked,

then either the alarm is set or the guard is on duty, but not both.

P = The door is closed

Q = The door is locked

R = The alarm is set

Question #5

(P ^ Q) → ((R v S) ^  ~(R ^ S))

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