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1967 AMC 12 Question 7

AMC12 · 1967 AMC 12

Question 7

If $\dfrac ab\lt-\dfrac cd,$ where $a,$ $b,$ $c,$ $d$ are real numbers and $bd\ne0,$ then:
  1. $a$ must be negative
  2. $a$ must be positive
  3. $a$ must not be zero
  4. $a$ can be negative or zero, but not positive
  5. $a$ can be positive, negative, or zero