Question

Using truth table, show that
~(p → ~q) = p^q.​

Answer 1

Step-by-step explanation:

p->q =~p v q

~(p->~q) = ~(~p v ~q ) =~(~p) ^~(~q)

=p^q

_________________________

p q ~q p->~q ~(p->~q) p^q

_________________________

T T F F T T

T F T T F F

F T F T F F

F F T T F F

last 2 columns values are same so

~(p-> ~q) = p^q