2003 AMC 12A Problems/Problem 6
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Problem
Define 
to be 
for all real numbers 
and 
. Which of the following statements is not true?
for all and
for all and
for all
for all
if 
Solution
Examining statement C:
when 
, but statement C says that it does for all .
Therefore the statement that is not true is "
for all " 
See Also
| 2003 AMC 12A (Problems • Resources) | ||
| Preceded by Problem 5 | Followed by Problem 7 | |
| 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 | ||
