SOLUTION: I am lost on truth tables, can you please help?
Construct a truth table for ~q -->(~q ^ p)
Algebra.Com
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.
RELATED QUESTIONS
I am lost, can anyone help?
Construct a truth table for (pV q)... (answered by Edwin McCravy)
Please help. Construct a truth table for ~p V... (answered by solver91311)
please help I really need your help!!!!!!!!!!!!!
1.Construct a truth table for ~q -> (answered by jim_thompson5910)
I need help with truth tables. See question below. The symbol -> is an arrow for... (answered by stanbon,chitra)
How do I do this problem? I am lost.
Construct a truth table for ~q -> (~q ^... (answered by Mathtut)
Construct a truth table for ~q ^ p
(answered by jim_thompson5910)
Construct a truth table for... (answered by solver91311)
construct a truth table for ~q ^ ~... (answered by Theo,solver91311)
Construct a truth table for p -->... (answered by jim_thompson5910)