Question

Which of the following truth tables shows the statement ~p → ~q ?

p q ~p ~q ~p → ~q
T T F T T
T F F F T
F T T T T
F F T F F

p q ~p ~q ~p → ~q
T T F F T
T F F T F
F T T F F
F F T T T

p q ~p ~q ~p → ~q
T T F F F
T F F T T
F T T F F
F F T T T

p q ~p ~q ~p → ~q
T T F F T
T F F T T
F T T F F
F F T T T

Answer 1

so with these, you want to confirm the ~p and the ~q column. remember, ~ means NOT

Answer 2

right:) so not in July implies not at the lake?

Answer 3

oh, this is a different problem. do you know how truth tables work?

Answer 4

no lol

Answer 5

basically you list out all the possibilities.

Answer 6

oh ok

Answer 7

notice how the first two columns for each answer choice are always the same.

Answer 8

yess, what does it mean?

Answer 9

you basically pick all the possible values of p and q and you list them out.
so the first row reads p:T q:T
second reads p:T q:F
third reads p:F q:T
fourth reads: p:F q:F

Answer 10

okay

Answer 11

but if you know p is T than ~p must be F right?
or if you know p is F then ~p must be T right?

Answer 12

right

Answer 13

so you make sure the ~p and the ~q columns correspond with the p and the q columns - they should be the opposite.

Answer 14

oh okay what about the ~p → ~q columns?

Answer 15

so uhh
T→T is T
T→F is F
F→T is T
F→F is T
so use the values in ~p and ~q and follow the charter I gave you to detmine the correct answers.

Answer 16

okay that makes more sense

Answer 17

yeah - what answer choice did you get?

Answer 18

im debating between c or d :/

Answer 19

should be d...

Answer 20

i knew that... lol hey im trying okay xD i hate math

Answer 21

but see T→F is F which d does not have :O thats where i was confused at

Answer 22

it does. you need to look at the ~p and the ~q columns only

Answer 23

ohh okay im fallowing