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Math Help - a question about inequalities

  1. #1
    Junior Member
    Joined
    Oct 2009
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    68

    a question about inequalities

    Hi.

    I'm at the last step of a question and I'm wondering how to solve for the inequality:

    (t-3)(t-2)>0

    I know that there is some method to figure out if t is within or beyond the interval [2,3], but I was never taught it.

    What is the system to solve this, and what is it called?

    Thank you in advanced for taking a look at this question!
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  2. #2
    MHF Contributor
    Joined
    Sep 2008
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    West Malaysia
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    Quote Originally Posted by shawli View Post
    Hi.

    I'm at the last step of a question and I'm wondering how to solve for the inequality:

    (t-3)(t-2)>0

    I know that there is some method to figure out if t is within or beyond the interval [2,3], but I was never taught it.

    What is the system to solve this, and what is it called?

    Thank you in advanced for taking a look at this question!
    HI

    YOu can use the graphical method . In this case , it will be a parabola opening upwards (since its leading coefficient is >0 ) and it intersects the x-axis at 2 and 3 . Since the inequality is >0 , so the solution would be the top part of the graph ie t<2 or t>3 .
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  3. #3
    Junior Member
    Joined
    Oct 2009
    Posts
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    oh okay, thank you.

    i was wondering, is there any algebraic method of solving this?
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