# Sets Help I

• May 4th 2011, 02:59 AM
Alphard
Sets Help I
A = {1,2,3}
B= {0,1,4}
C= {2,4,5}
U= {0,1,2,3,4,5}

1. (A∩B’)’ ∩ B
2. (A∩B) – (AUC)’
3. (A∩U)’ - B

I have 20 operations to answer.. Please answer them and explain, I don't understand it when there's a Prime ' on a bracket and a parenthesis..
• May 4th 2011, 03:04 AM
Prove It
We won't be doing your work for you. You should know that the prime means "complement", u means "union", n means "intersection", and brackets mean "do me first".

Have a go, show us what you have tried, then we may be of more help to you...
• May 4th 2011, 03:11 AM
Alphard
1.) (A∩B’)’ ∩ B

({1,2,3}∩{2,3,5})' ∩ {0,1,4}

({2,3})' ∩ {0,1,4}

{0,1,4,5} ∩ {0,1,4}

{0,1,4}

Is that right? I'll post my progress here..
• May 4th 2011, 03:25 AM
Alphard
Ok, so I have answered another problem..

Same Sets:
(A'-B)'
({0,4,5}) - {0,1,4})'
({1})'
= {0,2,3,4,5}

So is this correct?
• May 4th 2011, 04:08 AM
Alphard
Sorry for spamming, but I'll correct my above post..

(A'-B)'
({0,4,5}) - {0,1,4})'
({5})'
= {0,1,2,3,4}

Since Difference of Sets focus on the 1st set right? I mean the numbers in Set A that are not in B?
• May 4th 2011, 04:11 AM
Prove It
Quote:

Originally Posted by Alphard
1.) (A∩B’)’ ∩ B

({1,2,3}∩{2,3,5})' ∩ {0,1,4}

({2,3})' ∩ {0,1,4}

{0,1,4,5} ∩ {0,1,4}

{0,1,4}

Is that right? I'll post my progress here..

Yes it's correct. :)
• May 4th 2011, 05:29 AM
Prove It
The other one is correct as well. Personally, I prefer using the \ notation rather than - though, because I read \ as "excluding" while I read - as "subtracting"...