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Question 207907: I am lost on truth tables, can you please help?
Construct a truth table for ~q -->(~q ^ p)
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! To construct the truth table for ~q --> (~q ^ p), let's first break it up:
First, let's make a truth table for ~q:
Note: just write the opposite of q for every entry
Now, let's make a table for ~q ^ p (simply use the "and" operator for columns ~q and p):
| p | q | ~q | ~q ^ p | | T | T | F | F | | T | F | T | T | | F | T | F | F | | F | F | T | F |
Note: ~q ^ p is only true when both ~q and p are true. Otherwise, it's false.
Finally, make a table for ~q --> (~q ^ p):
| p | q | ~q | ~q ^ p | ~q --> (~q ^ p) | | T | T | F | F | T | | T | F | T | T | T | | F | T | F | F | T | | F | F | T | F | F |
Recall that p -> q is only false when p is true and q is false. Otherwise, it is true.
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