Question

determine the truth value of the statement when p is T , q is F , and r is F.
~ [(q ∧ r) ] → [(~p V r)]


please show work!

Answer 1

Well break it down. What is

(q^r)

Answer 2

f^f

Answer 3

And the result of that is?

Answer 4

flase

Answer 5

Right. And ~F is?

Answer 6

F ∨ F)

Answer 7

No no. ~(q v r) is ~False is True right?

Answer 8

its true

Answer 9

Ok, so then we have implies, and so the truth of the implication depends on the truth of the right side then. So...

What is (~p v r)

Answer 10

tVf

Answer 11

~T v F

Answer 12

is F v F
is F

Answer 13

oki get it!

Answer 14

So we have T -> F
Therefore F.

Answer 15

thanks

Answer 16

Just have to work it one piece at a time starting with inner most parens.

Answer 17

Just like other math