SOLUTION: 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. Tra

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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