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Math Help - need help with reasoning out a given answer

  1. #1
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    need help with reasoning out a given answer

    Hi ,

    I just did a multiple choice question and am quite puzzled by the given answer.

    the question:

    " given x > -2 and x < 9, where x is an integer, which of the following is true?"

    My answer and the given answer is in the attachment.

    I gave it some thought and here is my reasoning as to why the given answer could be correct.

    condition A : x > -2

    -1 is > -2 and is the absolute 'minimum' integer value that fulfills condition A. -2 and -3 do not fulfill condition A.

    therefore x is greater or equals to -1

    condition B: x < 9

    8 is < 9 and is the absolute 'maximum' integer value that fulfills condition B. 9 and 10 do not fulfill condition B.

    therefore x is lesser or equals to 8.

    conclusion given answer fulfills conditions A and B.

    is this reasoning correct?
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  2. #2
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    Re: need help with reasoning out a given answer

    Quote Originally Posted by Citronette View Post
    I just did a multiple choice question and am quite puzzled by the given answer.
    the question: " given x > -2 and x < 9, where x is an integer, which of the following is true?"
    My answer and the given answer is in the attachment.
    I gave it some thought and here is my reasoning as to why the given answer could be correct.
    condition A : x > -2
    -1 is > -2 and is the absolute 'minimum' integer value that fulfills condition A. -2 and -3 do not fulfill condition A.
    therefore x is greater or equals to -1
    condition B: x < 9
    8 is < 9 and is the absolute 'maximum' integer value that fulfills condition B. 9 and 10 do not fulfill condition B.
    therefore x is lesser or equals to 8.
    conclusion given answer fulfills conditions A and B.
    is this reasoning correct?
    It must be x<9 or for integers x\le 8.
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