Thread: Simple Set Questions

Note: v means union and ^ means intersect

If A is a set and U is the universe,

Is:

A v A = A
A v A = U (or I think it might be A)
A ^ null set = A
A v null set = A

And finally if A is a subset of U,

Is:

null set v A = A
complement of the null set = U

Thanks for looking!

Hello

Originally Posted by DiscreteW

Note: v means union and ^ means intersect

If A is a set and U is the universe,

Is:

A v A = A

Yes

A v A = U (or I think it might be A)

Well, it's the same as just above
Just in case, A^A=A

A ^ null set = A

See here : http://www.mathhelpforum.com/math-he...ns-proofs.html

A v null set = A

Make a diagram if you want to check by yourself !

And finally if A is a subset of U,

Is:

null set v A = A

uh ? just as before

complement of the null set = U

Yep

Thanks for looking!

'welcome ^^