1967 AHSME Problems/Problem 7

Revision as of 00:04, 23 September 2014 by Timneh (talk | contribs) (Created page with "== Problem == If <math>\frac{a}{b}<-\frac{c}{d}</math> where <math>a</math>, <math>b</math>, <math>c</math>, and <math>d</math> are real numbers and <math>bd \not= 0</math>, then...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

If $\frac{a}{b}<-\frac{c}{d}$ where $a$, $b$, $c$, and $d$ are real numbers and $bd \not= 0$, then:

$\text{(A)}\ a \; \text{must be negative} \qquad \text{(B)}\ a \; \text{must be positive} \qquad$ $\text{(C)}\ a \; \text{must not be zero} \qquad \text{(D)}\ a \; \text{can be negative or zero, but not positive } \\ \text{(E)}\ a \; \text{can be positive, negative, or zero}$

Solution

$\fbox{E}$

See also

1967 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png