Simplifying a logical equivalence statement without a truth tableby needshelp5 Tags: associativity, demorgan's law, logical equivalence 

#1
Jan2510, 09:37 PM

P: 1

1. The problem statement, all variables and given/known data
[(p>r) ^ (q>r)] > (p ^ q) > r 2. Relevant equations anything but a truth table! laws such as (p>q)= ~(p^~q) or (p>q)=(~q>~p) might help 



#2
Jan2910, 03:50 PM

Mentor
P: 21,012

See how far you get using the relevant equations you showed. Other relevant equations that will come in handy are DeMorgan's Laws, ~(p ^ q) <==> ~p V ~q, and ~(p V q) <==> ~p ^ ~q.



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