Algebra
posted by Lindsay on .
Can someone explain to me why the intersection of two infinite sets is not always an infinite set, but the union of two infinite sets is?

Take the infinite set (0, odd numbers). Then consider the infinite set (0. even numbers).
The intersection is not infinite, it contains just 0
But the union is infinite, as it contains 0, all odd, and all even 
That makes sense. Thank you!