1994 AHSME Problems/Problem 3
Problem
How many of the following are equal to for all ?
Solution
We look at each statement individually.
. We note that . So statement is true.
. We find a counter example which is . . So statement is false.
. We see that this statement is equal to . is a counter example. . So statement is false.
. We see that is again a counter example. . So statement is false.
Therefore, our answer is .
--Solution by TheMaskedMagician
See Also
1994 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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