1963 TMTA High School Algebra I Contest Problem 30
Problem
If is positive, which of the following is always less than one?
Solution
Most of the answer choices can be eliminated by selecting a number such that
This gets rid of
and
If you select a very large value for then
will be bigger than
is positive, so
and will always be bigger than
So, the answer is
See Also
1963 TMTA High School Mathematics Contests (Problems) | ||
Preceded by Problem 29 |
TMTA High School Mathematics Contest Past Problems/Solutions | Followed by Problem 31 |