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Math Help - Inequalities help ! Urgent !

  1. #1
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    Inequalities help ! Urgent !

    Find the set of values of x for which 0 < ( 2 - x - x^2 ) / x^2 < 2
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  2. #2
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    Because x cannot be zero we get 0 < \frac{{2 - x - x^2 }}{{x^2 }} < 2\quad  \Rightarrow \quad 0 < 2 - x - x^2  < 2x^2 .
    Now 0 < 2 - x - x^2 \quad  \Rightarrow \quad  - 2 < x < 1, but we must remember 2 - x - x^2  < 2x  \Rightarrow \quad x <  - \frac{2}{3} \vee \frac{1}{3} < x.

    You put together the final answer.
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