Question

construct a truth table for the statement.
∼ (∼p ∧ ∼q)

Answer 1

method or just answer?
usually start with
p q
t t
t f
f t
f f

Answer 2

so ~p and ~q
~p ~q
f f
f t
t f
t t

Answer 3

for (~ p and ~q) they both must be true, so get
(~p and ~q)
f
f
f
t

Answer 4

and finally to negate this flip the f and t to get
~(~p and ~q)
t
t
t
f

Answer 5

which as you see is the same truth table for p or q. they are the same.

Answer 6

Its a bit easier to read when they are all lined up

Answer 7

IE shows it as a single line of text