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Math Help - Simple Domain

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    Simple Domain

    How do I express a Domain that is from -(1/4) to infinite except 0?
    I saw that last year and I forgot lol
    Thanx in advance!
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    Quote Originally Posted by Baigo View Post
    How do I express a Domain that is from -(1/4) to infinite except 0?
    I saw that last year and I forgot lol
    Thanx in advance!
    There are a few different ways. You could, for example, say that the domain is \left\{x\in\mathbb{R}\;\bigg|\;x > -\frac14,\;x\neq0\right\}, or you could state it more concisely as \left(-\frac14,\;\infty\right) - \{0\} (here the " -" denotes the difference of the sets). A simpler way is to just state that the domain is the set of nonzero real numbers that are greater than \frac14.
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    Thanx a lot dude!
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    Quote Originally Posted by Reckoner View Post
    There are a few different ways. You could, for example, say that the domain is \left\{x\in\mathbb{R}\;\bigg|\;x > -\frac14,\;x\neq0\right\}, or you could state it more concisely as \left(-\frac14,\;\infty\right) - \{0\} (here the " -" denotes the difference of the sets). A simpler way is to just state that the domain is the set of nonzero real numbers that are greater than \frac14.
    Or possibly: In interval notation

    \left(-\frac{1}{4},0\right) \ \ \bigcup \ \ \bigg(0, +\infty\bigg)

    But, do we know if -\frac{1}{4} is included in the interval?

    If it is, then the notation would change to:

    \left[-\frac{1}{4},0\right) \ \ \bigcup \ \ \bigg(0, +\infty\bigg)
    Last edited by masters; June 22nd 2008 at 03:43 PM.
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