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Math Help - List elements of the set in roster notation

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    List elements of the set in roster notation

    {x | 2-x = 4 and x is a fraction}

    The answer is -2, right? I'm only asking because the question before it asks the same thing and stipulates that x must be an integer. I have a feeling there is a trick somewhere.
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    Re: List elements of the set in roster notation

    Quote Originally Posted by Lexy View Post
    {x | 2-x = 4 and x is a fraction}

    The answer is -2, right? I'm only asking because the question before it asks the same thing and stipulates that x must be an integer. I have a feeling there is a trick somewhere.
    The integers are a subset of the rationals (fractions), so yes, the answer is x = -2.
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    Re: List elements of the set in roster notation

    If we assume that "fraction" here is a synonym of a "rational number," then the answer is {-2}, i.e., a set. However, it seems that "fraction" here means "a rational number that is not an integer." In this case, the answer is the empty set.
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