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    DA Inequalities

    Is m+z>0?

    (1) m-3z>0
    (2) 4z-m>0

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    sum two inequalities and you'll get that z>0, then from the first premise you understand that since m>3z, then m is also >0 and the sum of m and z is positive
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    Another way to solve the problem could be
    using a) we get z < m/3 not sufficiet to answer the question
    using b) we get z > m/4 not sufficient to answer the question

    using both m/4 < z < m/3. if m is -ve then this relationship should cannot hold therefore m > 0 & so is z . therefore m + z > 0.
    Hence c .


    Quote Originally Posted by clerk View Post
    sum two inequalities and you'll get that z>0, then from the first premise you understand that since m>3z, then m is also >0 and the sum of m and z is positive
    Last edited by kooljoshi; October 12th, 2009 at 10:55 AM. Reason: typo
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    Quote Originally Posted by kooljoshi View Post
    Another way to solve the problem could be
    using a) we get z < m/3 not sufficiet to answer the question
    using b) we get z > m/4 not sufficient to answer the question

    using both m/4 < z < m/3. if m is -ve then this relationship should cannot hold therefore m > 0 & so is z . therefore m + z > 0.
    Hence c .
    Yes, good solution, requires not just simple operations, but little logic.
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