Question

De morgan's laws to write the negation of the following statement.

He is not in Canada, or he does not fly to montreal.

a. He is in Canada, and he flies to montreal.
b. He is in Canada, or he flies to montreal.
c. If he is in Canada, then he flies to montreal.
d. He is not in Canada, or he flies to montreal.

Answer 1

He is not in canada = p

he does not fly to montreal = q

Your statement = ( p v q )

Negating the statement : ~( p v q )

Answer 2

so im not sure if it would be c. or d.

Answer 3

I know that ~ means "not" and "v" means "or"

Answer 4

You are correct, so just negate both of the statements individually.

Answer 5

The conjunction, "or", does not change though.

Answer 6

so it would be b.?

Answer 7

That's what i'm getting.

Answer 8

it is a bit more intuitive if you define
p = In Canada
q= flies to Montreal
so the statement can be written

(not p) or (not q)

use De Morgan's Law to write that as
not (p and q)

now negate that statement: not not (p and q) becomes
p and q

look for
In Canada and flies to Montreal

Answer 9

so A.

Answer 10

more importantly, can you follow what I did?

Answer 11

yes so you took out the negation and added the conjunction

Answer 12

@phi why would or change to and?

Answer 13

you guys are confusing me lol

Answer 14

DeMorgan's Law
https://en.wikipedia.org/wiki/De_Morgan's_laws

Answer 15

Ohhh.... I had missed somethign.

Answer 16

so the finalized answer is A