Question

given p is false,q is true, and r is true, find the truth value of the statement (p v ~q)<-->~r

Answer 1

Well if p and false and q is true, what's the truth value of
p v ~q
?

Answer 2

you there?

Answer 3

yes

Answer 4

Ok then.

if p and false and q is true, what's the truth value of
p v ~q
?

Answer 5

f t

Answer 6

which one is it? True or False?

Answer 7

p v ~q = F v ~T
= F v F
= F

It is false.

On the other side, what is truth value of ~r ?

Answer 8

is it true

Answer 9

r is True. Hence what is ~r?

Answer 10

false

Answer 11

Yes.

Therefore
(p v ~q)<-->~r
is True
if and only if
F <--> F
is true.

Is it?

Answer 12

yes

Answer 13

Right.

Answer 14

thanks