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Math Help - Inequality

  1. #1
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    Inequality

    Solve the inequality...

    x^2 + 6x + 5 > 0
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  2. #2
    Master Of Puppets
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    x^2+6x+5 = (x+1)(x+5)

    What now?
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  3. #3
    Senior Member yeKciM's Avatar
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    Quote Originally Posted by MATNTRNG View Post
    Solve the inequality...

    x^2 + 6x + 5 > 0

     (x+1)(x+5)>0

     x>-1 \; \; \; x<-5

    Edit: Sorry "pickslides" i didn't refresh thread
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  4. #4
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    I do not understand why we flip the inequality sign to get x < -5
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  5. #5
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    Quote Originally Posted by MATNTRNG View Post
    I do not understand why we flip the inequality sign to get x < -5
    (x+5)(x+1) > 0

    critical values are x = -5 and x = -1

    values of x < -5 make the inequality true.

    values of x between and including x = -1 and x = -5 make the inequality false.

    values of x > -1 make the inequality true.


    alternatively, think about the graph of y = (x+5)(x+1) ... for what values of x is the value of y > 0 ?
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