SOLUTION: Fill in the heading of the following truth table using any of p, q, ~, , ?, , and . Use keyboard shortcuts of --> for , <--> for ?, V for , and ^ for .
p q
T T
Algebra.Com
Question 627978: Fill in the heading of the following truth table using any of p, q, ~, , ?, , and . Use keyboard shortcuts of --> for , <--> for ?, V for , and ^ for .
p q
T T F
T F F
F T F
F F T
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Notice how the truth table for p ^ q has a last column of T, F, F, F
Flip everything to get F, F, F, T, which is exactly the last column in the given table above.
So we go from p ^ q to ~(p ^ q)
Now use De Morgan's Law to simplify...
~(p ^ q)
~p V ~q
So the full table is...
| p |
q |
~p V ~q |
| T |
T |
F |
| T |
F |
F |
| F |
T |
F |
| F |
F |
T |
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