Difference between revisions of "1967 AHSME Problems/Problem 7"
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== Solution == | == Solution == | ||
− | <math>\ | + | Notice that <math>b</math> and <math>d</math> are irrelevant to the problem. Also notice that the negative sign is irrelevant since <math>c</math> can be any real number. So the question is equivalent to asking what values <math>a</math> can take on given the inequality <math>a<c</math>. The answer, is of course, that <math>a</math> could be anything, or <math>\boxed{\textbf{(E) } \ a \; \text{can be positive, negative, or zero}}</math> |
+ | |||
+ | ~ proloto | ||
== See also == | == See also == |
Latest revision as of 18:41, 28 September 2023
Problem
If where
,
,
, and
are real numbers and
, then:
Solution
Notice that and
are irrelevant to the problem. Also notice that the negative sign is irrelevant since
can be any real number. So the question is equivalent to asking what values
can take on given the inequality
. The answer, is of course, that
could be anything, or
~ proloto
See also
1967 AHSC (Problems • Answer Key • Resources) | ||
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 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.