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Math Help - range of elements

  1. #1
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    range of elements

    given that -x is an element of the set B where l x^2 - 3l <1. what is the range of values that are in the set B?
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  2. #2
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    solution

    Quote Originally Posted by alexandrabel90 View Post
    given that -x is an element of the set B where l x^2 - 3l <1. what is the range of values that are in the set B?
    |x^2-3|<1
    =>-1<x^2-3<1
    =>2<x^2<4
    =>sqrt(2)<x<2
    therefore if x be any element of B the range of values that are in set B is given by (sqrt(2),2).
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  3. #3
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    Quote Originally Posted by alexandrabel90 View Post
    given that -x is an element of the set B where l x^2 - 3l <1. what is the range of values that are in the set B?
    |x^2- 3|< 1 is the same as -1< x^2- 3< 1 and 2< x^2< 4. That gives B as the union of two separate intervals.
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    please clarify

    Quote Originally Posted by HallsofIvy View Post
    |x^2- 3|< 1 is the same as -1< x^2- 3< 1 and 2< x^2< 4. That gives B as the union of two separate intervals.
    one interval is undoubtedly (sqrt(2),2).which is the other and how???
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  5. #5
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    Quote Originally Posted by Pulock2009 View Post
    one interval is undoubtedly (sqrt(2),2).which is the other and how???
    \left( { - 2, - \sqrt 2 } \right)
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  6. #6
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    is the other interval from (-2, sq rt 2)
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