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Thread: sat math question of the day

  1. #1
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    Jun 2013
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    sat math question of the day

    If , then which one of the following is negative?
    (I)
    (II)
    (III)

    (A) I only
    (B) II only
    (C) III only
    (D) I and II only
    (E) I and III only

    Thanks

  2. #2
    Junior Member
    Join Date
    Jun 2013
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    All of the choices can be interpreted as quadratic inequalities with roots . The leading coefficient(s) for (I) and (III) are positive while for (II) is negative.

    Therefore, for (I) and (III) we have the following sign diagram

    ---(+)--------{-4}---------(-)-------------{1}-------(+)---------

    While for (II) we have the following sign diagram

    ---(-)--------{-4}---------(+)-------------{1}-------(-)---------

    Therefore the correct answer is (E).


    Hope these help!!

  3. #3
    Junior Member
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    Jun 2013
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    Thanks a lot for your reply!!

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