Hi using set algebra I have to simplify the following:

( (A n B n C) n (A u B u C') u (A u B') )

the answer I have been given is A n (B' n C) but I get A u B'

can anybody verify and break down the steps used?

Many thanks

Printable View

- Jan 3rd 2009, 08:02 AMbarc0deSet Algebra
Hi using set algebra I have to simplify the following:

( (A n B n C) n (A u B u C') u (A u B') )

the answer I have been given is A n (B' n C) but I get A u B'

can anybody verify and break down the steps used?

Many thanks - Jan 3rd 2009, 08:03 AMMush
- Jan 3rd 2009, 08:05 AMbarc0de
- Jan 3rd 2009, 08:22 AMPlato
- Jan 3rd 2009, 08:27 AMSoroban
Hello, barc0de!

Quote:

Simplify: .,

. . .

- Jan 3rd 2009, 08:38 AMPlato
You need to edit the post by adding some grouping symbols.

Because .

Which one is your problem? - Jan 3rd 2009, 08:43 AMPlato
**Your edit did nothing to clear away the confusion.** - Jan 3rd 2009, 08:48 AMbarc0de
- Jan 3rd 2009, 08:49 AMbarc0de
Thanks Soroban. Could you take a look at the following please:

(A n B n C) n (A u B u C') u (A u B')

the answer I have been given is A n (B' n C) but I get A u B'

can you verify and break down the steps used - Jan 3rd 2009, 08:55 AMPlato
Which way are they grouped?

It makes a huge difference. - Jan 3rd 2009, 08:57 AMbarc0de
This may be where the problem lies in getting 2 different answers. I have typed the problem in as I have been given it. Would it be too much trouble for you to do both?? I would really appreciate it.

Many thanks - Jan 3rd 2009, 09:10 AMPlato
- Jan 3rd 2009, 09:21 AMbarc0de
Could you please break down the steps used in finding the first solution?