Question

2. Construct a truth table for (~p q) p

Answer 1

(~pΛq)→p

Answer 2

We start with p , q then add calculated columns one by one

p q
------
F F
F T
T F
T T

Answer 3

set up ps and qs

p -p q -pAq
t f t f
f t t t
f f f
t f f

Answer 4

now condition that with p again

Answer 5

-pAq -> p
f t f
t t t
f t t
f t t
f f f
t f f
f f t
f f t

Answer 6

thanks amistre64

Answer 7

yep, its not difficult, just gotta make sure your keeping track of all the changes :)

Answer 8

that first one is off; should have been: f->t = t

pretty sure its a typo

Answer 9

and about the center i see a bad one: f->f = f is wrong

with the condition "->" if the first is f, the answer is t regardless

f -> f = t