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Question 626150: PLEASE HELP ME~ Construct a truth table for the following
∼(∼p ∨ ∼q)
*This is what I have-
P Q ~P ~Q ~PV~Q
T T F F F
T F F T T
F T T F T
F F T T T
What is confusing me is ~ outside the (). PLEASE HELP! Am I correct above, What about the ~ outside the () how do I place that into the table!
THANK YOU~~
Tiff
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! You're doing great. You just need to negate everything in the column ~P v ~Q to get the last column ~(~P v ~Q)
Why? This is because ~P is the opposite of P. So if P is true, then ~P is false.
So the F in the ~P v ~Q column (in the first row) becomes a T. The T in the second row becomes an F, etc etc. Let me know if this makes sense or not. Thanks.
| P |
Q |
~P |
~Q |
~P v ~Q |
~(~P v ~Q) |
| T |
T |
F |
F |
F |
T |
| T |
F |
F |
T |
T |
F |
| F |
T |
T |
F |
T |
F |
| F |
F |
T |
T |
T |
F |
Note: The table above is your original table with new stuff in blue
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