Problem:
Let x=−2016. What is the value of ||∣x∣−x∣−∣x∣∣−x ?
Answer Choices:
A. −2016
B. 0
C. 2016
D. 4032
E. 6048
Solution:
∣∣∣−2016∣−(−2016)∣−∣−2016∣∣−(−2016)=∣∣2016+2016∣−2016∣+2016=2016+2016=4032.
The problems on this page are the property of the MAA's American Mathematics Competitions