SOLUTION: Construct a truth table for ~q → (~p V q). Is there anyone that can help with this?

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Question 485834: Construct a truth table for ~q → (~p V q). Is there anyone that can help with this?
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
your truth table is shown below:

$$$$$

v is the or symbol.
~ is the not symbol.
-> is the implies symbol.

the or statement is ~p v q
the implies statement is ~q -> (~p v q)

the or statement is only false if both ~p and q are false.
the implies statement is only false if ~q is true and (~p v q) is false.

there are 4 possible conditions in the truth table because there are 2 variables involved. those variables are p and q. the possible conditions are 2 * 2 (2 possible conditions for each variable used).


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