Question

Given p is true, q is true, and r is false, find the truth value of the statement ~p (q ~r).

Show step by step work. Use keyboard shortcuts of -->, <-->, V, ^

Answer 1

p q r ~p ~p(qV~r)

Answer 2

p=T ; ~p=F
q=T
r=F ; ~r=T

~p^(q^~r)=F^(T^T)=F

Answer 3

ok how did u get that? sorry i am completely dumb when it comes to truth tables and stuff like this lol

Answer 4

wait - what is the list you posted after the question for ?

Answer 5

i was gonna do a truth table to figure this problem out.. and post too soon..

Answer 6

What's the original statement? It seems like something is missing....

Answer 7

this is missing V

Answer 8

oh .. here they don't want a truth table - they give you the values , and ask for the value of the expression.

Answer 9

So ~p V (q V ~r) ???

Answer 10

~p --> (q V ~p) is the problem

Answer 11

you need to plug in the values they gave you for p,q,r

Answer 12

shoot wait...wrote wrong problem

Answer 13

Wait, is it ~p --> (q V ~r) ??

Answer 14

yes Jim...

Answer 15

k thx

Answer 16

~p --> (q V ~r)



~T --> (T V ~F)



F --> (T V T)



F --> T



T

Answer 17

so the entire expression is true

Answer 18

p=T ~p=F
q=T
r=F

Answer 19

ok u have ~ T but wouldnt ~p that be ~ F because it would be opposite of p

Answer 20

I started with ~p and I replace the p (and p alone) with T since p = T

Then I converted ~T to F (since F is the opposite of T)

Answer 21

So I'm using the fact that ~T = F

Ie, NOT true = false

Answer 22

oh ok.. i have been starting with p then q , r then ~ p

Answer 23

you could do it like that if you want

If p = T, then ~p = F and go from there

Answer 24

ok.. thats the way i have learned it..

Answer 25

Jim - how did you come up with this :
Wait, is it ~p --> (q V ~r) ??

Answer 26

it says we have to show step by step inorder to get credit for problem

Answer 27

yes fiddlearound thats the problem...

Answer 28

~p --> (q V ~r)


F --> (T V T)


F --> T


T

Answer 29

just wondering if Jim is psychic :)

Answer 30

notes: if p = T, then ~p = F

If r = F, then ~r = T

Answer 31

I am, but I can't see it until it hits lol