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AHSME 1967 Problem 7

    If ab<−cd\frac{a}{b}<-\frac{c}{d} where aa, bb, cc, and dd are real numbers and bd≠0bd \not= 0, then: (A) amust be negative(B) amust be positive\text{(A)}\ a \text{must be negative} \text{(B)}\ a \text{must be positive} (C) amust not be zero(D) acan be negative or zero, but not positive (E) acan be positive, negative, or zero\text{(C)}\ a \text{must not be zero} \text{(D)}\ a \text{can be negative or zero, but not positive } \\ \text{(E)}\ a \text{can be positive, negative, or zero}

    Dataset text NuminaMath-1.5. Quoted with source.

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