Difference between revisions of "2007 AMC 8 Problems/Problem 15"
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| − | <math>\mathrm{(A)} \ a + c < b \qquad \mathrm{(B)} \ a | + | <math>\mathrm{(A)} \ a + c < b \qquad \mathrm{(B)} \ a \cdot b < c \qquad \mathrm{(C)} \ a + b < c \qquad \mathrm{(D)} \ a \cdot c < b \qquad \mathrm{(E)}\frac{b}{c} = a</math> |
== Solution == | == Solution == | ||
Revision as of 20:32, 6 January 2018
Problem
Let 
and 
be numbers with 
. Which of the following is
impossible?
Solution
According to the given rules,
Every number needs to be positive.
Since is always greater than 
,
adding a positive number (
) to will always make it greater than .
Therefore, the answer is 
See Also
| 2007 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Problem 16 | |
| 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 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
