2003 AMC 10A Problems/Problem 6
Revision as of 19:02, 4 November 2006 by Xantos C. Guin (talk | contribs) (added problem and solution)
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 D says that it does for all .
Therefore the statement that is not true is " for all "