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Math Help - transform x-2y>-4?

  1. #1
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    transform x-2y>-4?

    solve for y, x-2y>-4
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  2. #2
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by andrelt375 View Post
    solve for y, x-2y>-4
    x-2y>-4
    => x+4 > 2y
    => y< (x+4)/2
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  3. #3
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    Hi there andrelt375, you now to employ your knowledge and algebra and inequalities here.

    We need to isolate y

     x-2y>-4

    First, lets take x from both sides.

     x{\color{red}-x}-2y>-4{\color{red}-x}

    Gives us

     -2y>-4-x

    Now we need to divide each side by -2 . When we divide through by a negative value the sign will flip the other way.

     \frac{-2y}{{\color{red}-2}}<\frac{-4-x}{{\color{red}-2}}

    Leaving

     y<\frac{-4-x}{-2}

    This can be simplified further as

     y<\frac{-4}{-2}+\frac{-x}{-2}

     y<2+\frac{x}{2}

    And we are finished.
    Last edited by pickslides; April 2nd 2010 at 02:53 PM. Reason: flipped some inequalities...
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  4. #4
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by pickslides View Post
    Hi there andrelt375, you now to employ your knowledge and algebra and inequalities here.

    We need to isolate y

     x-2y>-4

    First, lets take x from both sides.

     x{\color{red}-x}-2y>-4{\color{red}-x}

    Gives us

     -2y>-4-x

    Now we need to divide each side by -2 . When we divide through by a negative value the sign will flip the other way.

     \frac{-2y}{{\color{red}-2}}<\frac{-4-x}{{\color{red}-2}}

    Leaving

     y>\frac{-4-x}{-2}

    This can be simplified further as

     y>\frac{-4}{-2}+\frac{-x}{-2}

     y>2+\frac{x}{2}

    And we are finished.
    You accidentally flipped twice I think.
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