Question 198532: I am still confused about this problem. I was given help but I am still confused on it. Can someone please help me on this? I will be very greatful on any help that I receive.
2. (2 pts) 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! The symbol "v" means "or", the symbol "~" means "not", and the symbol "->" means "if...then"
Example: "p v q" means "p or q"
Example: "~p" means "not p"
Example: "p -> q" means if "p, then q"
---------------------------------------------------------------
Since "q: April is in the car.", this means that
~q: April is NOT in the car.
Also, because "r: Stan is at the zoo. ", this means that
~r: Stan is NOT at the zoo
Now join the last statement with an "or" and connect it to "Mary is on the bus" to get
p v ~r: Mary is on the bus OR Stan is NOT at the zoo
Now attach the last phrase to "April is NOT in the car" using an "if..then" to get
(p v ~r) -> ~q: IF Mary is on the bus OR Stan is NOT at the zoo, THEN April is NOT in the car.
Note: the all caps words are used for emphasis to point out the key words.
|
|
|
