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Math Help - Inequality

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    Inequality

    Find all the values of x that satisfy the inequality 5- x-1 < -3x + 2.
    2
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    Re: Inequality

    Quote Originally Posted by skweres1 View Post
    Find all the values of x that satisfy the inequality 5- x-1 < -3x + 2.
    2
    is this what you mean ...

    5 - \frac{x-1}{2} \le -3x + 2
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    Re: Inequality

    Quote Originally Posted by skweres1 View Post
    Find all the values of x that satisfy the inequality 5- x-1 < -3x + 2.
    2
    I suppose you mean "Find all the values of x that satisfy the inequality 5-(x-1) =< -3x+2" (were =< means "less or equal")

    We then have
    \newline 5-(x-1) \leqslant -3x+2 \newline  5-x+1 \leqslant -3x+2  \newline x \leqslant -2

    Or if you mean
    \newline 5-\frac{x-1}{2} \leqslant -3x+2 \newline \newline 10-(x-1) \leqslant -6x+4 \newline \newline 10-x+1 \leqslant -6x+4 \newline \newline 5x \leqslant -7 \newline \newline x \leqslant \frac{-7}{5}
    Last edited by fkf; November 24th 2012 at 03:07 PM.
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    Re: Inequality

    Yes sorry meant to put the 2 under the x-1
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    Re: Inequality

    YES sorry!!
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    Re: Inequality

    Quote Originally Posted by skweres1 View Post
    Yes sorry meant to put the 2 under the x-1
    I did edit my earlier post. The trick is to multiply the terms on both the sides with 2.
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  7. #7
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    Re: Inequality

    Thank you!!!!
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