How do you construct a truth table for parenthesis not p q parenthesis if and only if p?

Answer 1

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