Question

Let p, q, and r be the following statements:

p: Jamie is on the train.
q: Sylvia is at the park.
r: Nigel is in the car.

Translate the following statement into English:

Answer 1

(p ^ ~q) -> r

Answer 2

is that correct ?

Answer 3

yes

Answer 4

here what i have for it


p -> q means if p, then q

p V q means p or q

~p means not p


so, if:
p: Jamie is on the train.

q: Sylvia is at the park.

r: Nigel is in the car.

(~r V q)-> ~p = If Jamie is not on the train or Sylvia is at the park, then Nigel is not in the car

Answer 5

but i dont think what i have is good

Answer 6

(p ^ ~q) -> r

to translate it to verbal statements, do below steps :

1) replace p, q, r with their corresponding verbal statements
2) replace "^" with "AND"
3) replace "~" with "NOT"
4) replace "->" with "if, then"

Answer 7

(~q^p)->~r
If (not q and p) then (not r)
Now just substitute,
If (sylvia is not at the park and jamie is on the train) then (nigel is not in the car)