Question

Can someone help me make a truth table please p q ~p (q V~p) p <-->(qV~p)

Answer 1

What've you got so far?

Answer 2

p q ~p (q V~p) p <-->(qV~p)
t t f t
t f f f
t t f t
t f f f
f t t t
f f t t
f t t t
f f t t

Answer 3

I think you did too many rows again

Answer 4

p ↔ (q V ~p) this is the orignal problem

Answer 5

Only 2 independent variables, so only need 2^2 rows.

Answer 6

he will when he's done helping me :)

Answer 7

\[\begin{array}{|c|c|c|c|c}
p & q & \lnot p &q \vee \lnot p & p \iff (q \vee \lnot p)\\ \hline
T & T & F & T\\ \hline
T & F & F & F\\ \hline
F & T & T & T\\ \hline
F & F & T & T\\ \hline
\end{array}\]

Answer 8

Kush, stop spamming please.

Answer 9

Now, for the last column it is true only if the left and right sides of the \(\iff \) are the same.

Answer 10

what do u mean ? polpak . when i spammed

Answer 11

Chatting in here and trying to get my attention is spamming and it's rude to sandii

Answer 12

he's trying to help me.. he will be there shortly... ok

Answer 13

Please wait, and if your question is not answered when I am finished I will try to help

Answer 14

So did that make sense sandii?

Answer 15

If the left and right side are the same, then it's T otherwise it's F.

Answer 16

so the column 4 and column 1 should both be T in order to be true.

Answer 17

No, They should both be the SAME

Answer 18

even if they are both F the 'if and only if' is T

Answer 19

so the p column would be the if and only if right? in this case

Answer 20

No \(\iff\) means 'if and only if'.

Answer 21

ok but in the problem its p<--> (qV~p)

Answer 22

would you PLEASE stop Kush... I am trying to learn this~

Answer 23

I am deleting your nonsense spam because it is rude and obstructive. Since you refuse to stop, you get to have a short break from this site. Enjoy.

Answer 24

i undestand you need help too but other people need help too~

Answer 25

polpak ignore him.. i am going to try.. lol

Answer 26

The simple version:
\[\begin{array}{|c|c|c} g & y & g \iff y \\ \hline T & T & T \\ \hline T & F & F \\ \hline F & T& F \\ \hline F & F & T\end{array}\]

Answer 27

Oh, I don't need to ignore him. He gets to come back in 3 hours after he has calmed down. Until then he will leave us in peace.

Answer 28

he does this all the time?

Answer 29

No idea. But he did it this time, and I'm tired of it.

Answer 30

ok back to question.. i'm still confused..lol

Answer 31

So as I said before. If the left and the right side of the \(\iff \) are the same, then it is true. Otherwise it is false.

Answer 32

Look at my simple version

Answer 33

Now we want to do the same thing for \\[p \iff (q \vee \lnot p)\]

Answer 34

i still dont get it.... sorry... so when looking left and right side of which column?

Answer 35

so if columns p and q are the same right?

Answer 36

No, the expression on the left side of the \(\iff\) and on the right side.

Answer 37

What is on the left side of the \(\iff\)

Answer 38

that would be T for row 1

Answer 39

p is on the left side. And for row 1 p is true

Answer 40

or am i looking in the wrong place?

Answer 41

m back again , i have 1000s of accounts polpak for u . only .. understood u can not do anything . u do not deserve to be a moderator. u r misusing ur power .

Answer 42

u would also report me now i would be back again understood

Answer 43

are ya kidding me math? please ... just wait your turn!~

Answer 44

hmn sorry

Answer 45

carry on

Answer 46

\[p\ \ \ \ \ \ \ \ \iff \ \ \ \ \ \ \ (q \vee \lnot p)\]^left side ^ right side

Answer 47

ok... so on the right side would be row 1 T

Answer 48

Correct. So if the left side and the right side have the same value, the the \(\iff\) statement is true.

Answer 49

ok

Answer 50

2nd row would be t and f so it would be False for answer

Answer 51

Right

Answer 52

third row would be f and t which would be F

Answer 53

Right

Answer 54

and the same for the 4th row.. f and t which is F for final column

Answer 55

Indeed.

Answer 56

ok now im starting to understand this :) ty very much for helping me.

Answer 57

You're welcome, sorry for the nonsense.

Answer 58

awww no biggie. :) it happens

Answer 59

i have reported openstudy

Answer 60

u would be removed

Answer 61

what??? he didnt do anything.. you were being kinda rude

Answer 62

Don't worry about it. The admins will sort it out.

Answer 63

oh ok..

Answer 64

He keeps showing up, I'll keep suspending him.

Answer 65

yea i see that... wow some people's kids... i depend on this website cuz everyone has helped me big time.. I am actually passing my college math class... because of this site

Answer 66

Glad to help =)

Answer 67

i'm sure i will be back.. lol

Answer 68

oh boy here we go again... lol

Answer 69

lol truth tables again sandii?

Answer 70

LOL yup!~

Answer 71

polpak's amazing at explaining

Answer 72

oh i know... i look forward to him answering my cry for help~

Answer 73

hmn , i realizrdd my mistake . but help me any1 now

Answer 74

now? y dont u say please... that might get ya a lot farther then saying NOW.. hmm...

Answer 75

please