Question

Construct a truth table for the given statement: HELP!!!!
~(p<->~q)

Answer 1

what means <-> ? :)

Answer 2

<--->
The imply eachother?

Answer 3

THEY*

Answer 4

you are right "means that P and Q are equivalent. So the double implication is true if P and Q are both true or if P and Q are both false; otherwise, the double implication is false"

atachment: p<->q

Answer 5

I understand that, but it is the drawing the actual truth table for this is what I don't get

Answer 6

I will first do the ~q and align the results accordingly:

p | ~q | p<->~q
----------------------
T | ~T=F | F
T | ~F=T | T
F | ~T=F | T
F | ~F=T | F

I just used the opposite truth value for each q, compared with before

Answer 7

SO then would ~(p<--> q) be T, F, F, T?

Answer 8

Oops I mean ~(p<-->~q)

Answer 9

yep exactly :)

also,you're not supposed to put ~q in a truth table,
it makes evaluating easier but in the end:

p | q | p<->~q
----------------------
T | T | F
T | F | T
F | T | T
F | F | F

the table should not make the inversion, only the statement should ;-)

Answer 10

We have ~q listed in our homeworktruth table.. So I am really confused

Answer 11

really? I guess the rules aren't that strict then........

Answer 12

So then would ~(p <--> ~q) be the opposite of p<--> ~q?

Answer 13

yes

T F F T

Answer 14

Instead of F T T F, would it be T F F T?

Answer 15

great, thanks! I hope this stuf gets easier. I enjoy numbers WAY better.

Answer 16

stuff*

Answer 17

yeah you get better with time
and you're welcome