2002 AMC 10P Problems/Problem 12
Contents
[hide]Problem 12
For and consider
Which of these equal
Solution 1
We can solve this problem with a case by case check of and Since all cases must equal
Thus, our answer is
Solution 2
This is the much more realistic and less-time-consuming approach. Notice that all answer choices except include in them. Therefore, it is sufficient to prove that is false. Similar to solution 1, a quick glance tells us:
Therefore, by process of elimination, our answer is
See also
2002 AMC 10P (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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 AMC 10 Problems and Solutions |
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