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Q: Is not q then not p true or false?
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How do you construct a truth table for parenthesis not p q parenthesis if and only if p?

Assuming that you mean not (p or q) if and only if P ~(PVQ)--> P so now construct a truth table, (just place it vertical since i cannot place it vertical through here.) P True True False False Q True False True False (PVQ) True True True False ~(PVQ) False False False True ~(PVQ)-->P True True True False if it's ~(P^Q) -->P then it's, P True True False False Q True False True False (P^Q) True False False False ~(P^Q) False True True True ~(P^Q)-->P True True False False


Is p and q and not p a contradiction?

Yes, because a variable cannot be both true and not true.


How do you construct a truth table for q arrow p?

I guess you mean q → p (as in the logic operator: q implies p).To create this truth table, you run over all truth values for q and p (that is whether each statement is True or False) and calculate the value of the operator. You can use True/False, T/F, 1/0, √/X, etc as long as you are consistent for the symbol used for True and the symbol used for False (the first 3 suggestions given are the usual ones used).For implies:if you have a true statement, then it can only imply a true statement to be truebut a negative statement can imply either a true statement or a false one to be truegiving:. q . . p . q→p--------------. 0 . . 0 . . 1 .. 0 . . 1 . . 1 .. 1 . . 0 . . 0 .. 1 . . 1 . . 1 .


True or false p lies in plane b the line containing p and q must lie in plane b?

False. In order for the line PQ to lie in plane B, then both P and Q must lie in plane B.


What is the law of modus tollens?

It in Math, (Geometry) If p implies q is a true conditional statement and not q is true, then not p is true.