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Question 199065: Someone please help me with is problem .
1.Let p, q, and r be the following statements:
p: Mary is on the bus.
q: April is in the car.
r: Stan is at the zoo.
Translate the following statement into English: (p v ~ r) -> ~q
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
p: Mary is on the bus.
q: April is in the car.
r: Stan is at the zoo
Since r: Stan is at the zoo, this means that
~r: Stan is NOT at the zoo
Also, because q: April is in the car, this tells us that
~q: April is NOT in the car
Now, translate p v ~r:
p v ~r: Mary is on the bus OR Stan is NOT at the zoo
Now connect this with ~q in the form of IF...THEN (since --> means IF..THEN) to get:
IF Mary is on the bus OR Stan is NOT at the zoo, THEN April is NOT in the car.
So the compound statement (p v ~ r) --> ~q translates to:
(p v ~ r) --> ~q : IF Mary is on the bus OR Stan is NOT at the zoo, THEN April is NOT in the car.
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