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March 17th, 2011, 12:23 PM   #1
 
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Discrete Math Simplifying

I am in desperate need of help simplifying these. I have been working on these two questions for 3 days now.

(B A) U ( B ? A)



_____
(A - B) U A
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March 17th, 2011, 12:48 PM   #2
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Re: Discrete Math Simplifying

First problem: B B-A is all of B outside of A, while A?B is all of B inside A, so the union is B.

Second problem all space: A-B ? A, Therefore complement reverses the inequality. So the union contains A and its complement - all space.
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March 17th, 2011, 12:55 PM   #3
 
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Re: Discrete Math Simplifying

First off, thank you so much for replying Mathman.

However, I am still confused Is it like distributing? I have been looking at my student manual and can only understand when I am given steps. But the questions I am having problems with does not have any sample steps. All of the ones in my student manual are all about U and not - Can you break it down to me barney style? I hope I pass this course. This is my first week in the class.
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March 17th, 2011, 12:59 PM   #4
 
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Re: Discrete Math Simplifying

Quote:
Originally Posted by mathman
Second problem all space: A-B ? A, Therefore complement reverses the inequality. So the union contains A and its complement - all space.
So does that mean? the final result will be B?A when I simplify it?
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March 18th, 2011, 03:08 PM   #5
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Re: Discrete Math Simplifying

Quote:
Originally Posted by compstudent
Quote:
Originally Posted by mathman
Second problem all space: A-B ? A, Therefore complement reverses the inequality. So the union contains A and its complement - all space.
So does that mean? the final result will be B?A when I simplify it?
No. The final result is the union of A and A' (complement), which is the entire set. You don't have a symbol for it.
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