Consider the following statements:
p : niagara falls in in new york.
q : new york city is the state capital of new york.
r : new york city will have more than 40 inches of snow in 2525.
the statement p is true, but the statement q is false. represent each of the following statements by a formula. what are their truth values of r is true? what if r is false?
a) niagara falls in in new york and new york city is the capital of new york.
b) niagara falls is in new york or new york city is the capital of new york.
c) either niagara falls is in new york and new york city is the state capital of new york, or new york city will have more than 40 inches of snow in 2525.
d) new york city is not the state capital of new york, and new york city will have more than 40 inches of snow in 2525.