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Math Help - all values of x

  1. #1
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    all values of x

    find all values of x: (x+1)(x-3)^2(2x-1) greater than or equal to 0
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  2. #2
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    Quote Originally Posted by cruxkitty View Post
    find all values of x: (x+1)(x-3)^2(2x-1) greater than or equal to 0
    There are several ways to go about this.

    1) You have three breaks in the Real Numbers. x = -1, x = 3, and x = 1/2. Simply try a value in each of the four regions so defined and you are done.

    2) Notice that (x-3)^2 is never negative. The only way for this expression to be positive is for (x+1) and (2x-1) to have the same sign. Where is that?

    In both cases, you will want to include the three break points, as the question includes "=0".
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  3. #3
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    Wink

    (x+1)(x-3)^2(2x-1)>=0
    x+1>=0
    x>=-1
    and
    x-3)^3>=0
    x=3,3
    and2x-1>=0
    x>=1/2
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