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