Algebra

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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?

  • Algebra -

    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

  • Algebra -

    That makes sense. Thank you!

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