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Math Help - unfamiliar symbols

  1. #1
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    unfamiliar symbols

    For all numbers a and b, let be defined by . For all numbers x, y, and z, which of the following must be true?

    I.
    II.
    III.



    • A. I only
    • B. II only
    • C. III only
    • D. I and II only
    • E. I, II, and III
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  2. #2
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    Quote Originally Posted by aeroflix View Post
    For all numbers a and b, let be defined by . For all numbers x, y, and z, which of the following must be true?

    I.
    II.
    III.



    • A. I only
    • B. II only
    • C. III only
    • D. I and II only
    • E. I, II, and III
    you just have to convert each side of the equation to see if it's true ...

    x \odot y = xy + x + y

    y\odot x = yx + y + x

    since xy+x+y = yx+y+x for all real numbers, statement I is true.

    now check the other two ...
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