Alan G. answered • 04/04/16
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This will be hard to do with a chat box, but here goes.
p T T F F
q T F T F
~p F F T T
~q F T F T
~p∧~q F F F T
~(~p∧~q) T T T F
Let me know if you have any questions on making sense of this.
Alan G.
Each variable can be T or F (true or false). Since there are two variables with two truth values each, there are four possible combinations of truth values for both. I used all four combinations of T and F to make the first two rows of the table. Using the meaning of negation and "and", you construct the table one step at a time. First, p and q, then ~p and ~q, then ~p^~q, then its negation. By making the table one step at a time, you avoid any errors in calculating the truth values.
You may notice that the last row of the table yields the same truth values as p or q.
Let me know if you need further help or explanation on this.
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04/04/16
Jazmine B.
No you have explained it well. Thank you .
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04/04/16
Jazmine B.
04/04/16