College Math

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Could someone please explain the union to me. I don't understand. I get the intersection ones but not union. HElp me?

Ecample: (-1,1)U[0,6]

  • College Math -

    intersection is where the intervals overlap

    union is evetrything in either one

    (-1,1) extends from -1 to 1
    [0,6] extends from 0 to 6

    If you supermimpose the two shaded intervals, you will see that the combined shaded interval is

    (-1,6]

    The stuff in [0,1) is shaded twice, but that's ok. It's part of everything that's shaded.

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