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#1 2008-10-12 17:41:15
- deebhasingh
- Guest
please solve this problem
Using postulates of Boolean Algebra, prove that,
(i) a b = a c does not necessarily imply b = c,
(ii) a b = a c and a + b = a + c together imply b = c
#2 2008-10-13 06:30:09
- Ricky
- Moderator
- Registered: 2005-12-04
- Posts: 3,791
Re: please solve this problem
(i) Thinking of boolean multiplication like normal multiplication, what number does a*b = a*c but b not equal c for real numbers?
(ii) If you are allowed to use truth tables, this is the most straight forward way to prove this.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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