Question 630377: Construct a truth table for q ↔ (p^ ~q)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! your truth table is shown below:
p q ~q (p^~q) q <-> (p^~q)
T T F F F
T F T T F
F T F F F
F F T F T
you have 2 variables so there will be 2*2 = 4 rows
p and q have 4 possible variations.
they are TT TF FT FF
those options are shown in columns 1 and 2.
if q is true, then ~q is false.
if q is false, then ~q is true
that fact is shown in the third column.
(p^~q is true if both p and ~q are true, otherwise it is false.
that's shown in the fourth column.
q <-> (p^~q) is true if they both agree (either TT or FF).
Otherwise it is false.
<-> symbol is if and only if condition .
-> symbol is if then condition.
~ means not
T means true
F means false
here's a lesson written by yours truly a while ago.
it should still be valid.
http://www.algebra.com/algebra/homework/Conjunction/THEO-2011-08-19.lesson
i'd give you more references but i ran out of time and have to go.
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