SOLUTION: write the statement in symbolic form and construct a truth table. Mike made pizza and Dennis made a chef salad, but Gil burned the lemon squares. I am really stuck on this stu

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Question 481944: write the statement in symbolic form and construct a truth table.
Mike made pizza and Dennis made a chef salad, but Gil burned the lemon squares.
I am really stuck on this stuff, I appreciate any help.

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
p = mike made pizza
q = dennis made a chef salad
r = gil burned the lemon squares.
but and and are synonymous.
check out the following reference:
http://www.jimloy.com/logic/english.htm
my guess is that this would be:
(p and q) and r
that is the same as:
p and (q and r)
it is also the same as:
p and q and r
all 3 conditions have to be true.
mike made the pizza and dennis made a chef salad and gil burned the lemon squares.
your truth table would look like this:
           p   q   r   (p^q)   (p^q)^r
           T   T   T      T       T
           T   T   F      T       F
           T   F   T      F       F
           T   F   F      F       F
           F   T   T      F       F
           F   T   F      F       F
           F   F   T      F       F
           F   F   F      F       F

(p^q)^r is only true when all of p,q,r are each true.



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