If I have ((A ∩ B) ∪ Ω), is that equivalent to Ω ?

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- Dec 2nd 2011, 05:10 PMNombredorQuestion about sets
If I have ((A ∩ B) ∪ Ω), is that equivalent to Ω ?

- Dec 2nd 2011, 05:19 PMPlatoRe: Question about sets
- Dec 2nd 2011, 05:29 PMNombredorRe: Question about sets
And I am right in saying that (A -B) ∪ (B - A) is equivalent to (A ∪ B) - (A ∩ B) ?

And is it accurate to say that (A ∩ Ω) ∪ ~B is the same as Ω - B ? - Dec 2nd 2011, 05:42 PMPlatoRe: Question about sets
- Dec 2nd 2011, 05:45 PMNombredorRe: Question about sets
~B means ''non B'' in this case.

- Dec 2nd 2011, 05:49 PMPlatoRe: Question about sets
- Dec 2nd 2011, 05:52 PMNombredorRe: Question about sets
- Dec 2nd 2011, 06:14 PMNombredorRe: Question about sets
Also, I was wondering whether I was right in saying that (A ∪ B) ∩ (A ∪ ~B) is equivalent to (A - B) ?

- Dec 2nd 2011, 06:24 PMAnnatalaRe: Question about sets
The only thing I've ever seen big-omega used for in set theory is as another name for omega-1 (first uncountable ordinal). Does it also mean "universal set" in the context of intro set theory, then?

- Dec 2nd 2011, 06:27 PMNombredorRe: Question about sets
- Dec 2nd 2011, 06:27 PMNombredorRe: Question about sets
double post

- Dec 2nd 2011, 06:58 PMAmerRe: Question about sets
- Dec 3rd 2011, 05:55 AMPlatoRe: Question about sets
- Dec 3rd 2011, 07:28 AMAmerRe: Question about sets
it is equal to A

- Dec 3rd 2011, 07:37 AMPlatoRe: Question about sets