Construct a truth table for (~pV ~q) --> p Show all steps Solution (~p V ~q) -->

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Explanation / Answer

(~p V ~q) --> p We'll start with the truth values of p, q. Then we need to find ~p, ~q. Next, ~p V ~q Finally, (~p V ~q) --> p p can be true or false, and q can be true or false. So, we have four possibilites: p q T T T F F T F F Now, find ~p and ~q. (When p is T, ~p is F. When p is F, ~p is T. ) p q ~p ~q T T F F T F F T F T T F F F T T Now, (~p V ~q). (aVb is F if and only if a and b are F.) p q ~p ~q (~p V ~q) T T F F F T F F T T F T T F T F F T T T Finally, (~p V ~q) --> p. (a --> b is F if and only if a is T and b is F) p q ~p ~q (~p V ~q) (~p V ~q) --> p T T F F F T T F F T T T F T T F T F F F T T T F

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