Problem:
If ∣x−2∣=p, where x<2, then x−p=
Answer Choices:
A. −2
B. 2
C. 2−2p
D. 2p−2
E. ∣2p−2∣
Solution:
Since x<2, it follows that ∣x−2∣=2−x. If 2−x=p, then x=2−p. Thus x−p=2−2p.
The problems on this page are the property of the MAA's American Mathematics Competitions