Problem:
A number is more than the product of its reciprocal and its additive inverse. In which interval does the number lie?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The reciprocal of is , and the additive inverse of is . The product of these is . So , which is in the interval .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions