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#1 2014-09-13 08:50:22

Extreme112
Guest

Discrete Math Help

¬ (p ^ (q ∨ r) ^ ((p ^ q) > r)) Simplify >
¬ (p ^ (q ∨ r) ^ (¬ (p ^ q) ∨ r)) DE Morgan’s Law
¬p ∨ ¬ (q ∨ r) ∨ ¬ (¬ (p ^ q) ∨ r)    DE Morgan’s Law
¬p ∨ ¬q ^ ¬r ∨ (p ^ q) ^ ¬r

So I've reached this last step and I'm not sure how to simplify this further. The only thing I see is a Distributive Property of (p ^ q) ^ ¬r , but I'm not sure if this is allowed. Any help would be great.

#2 2014-09-13 11:27:48

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Discrete Math Help

You cannot remove parentheses when you have something lik p AND (q OR r).


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#3 2014-09-13 20:09:26

Bob
Administrator
Registered: 2010-06-20
Posts: 10,052

Re: Discrete Math Help

hi Extreme112

Welcome to the forum.

If your first line is correct (I'm doubtful about that > ) then you haven't used de Morgan correctly.

This is the analysis of what you have posted.

6kNAUKu.gif

Please check what you have posted and confirm it is correct.  smile

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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