Problem:
The length of the interval of solutions of the inequality aβ€2x+3β€b is 10. What is bβa?
Answer Choices:
A. 6
B. 10
C. 15
D. 20
E. 30
Solution:
The solution of the inequality is
2aβ3ββ€xβ€2bβ3β
If 2bβ3ββ2aβ3β=10, then bβa=(D)20β.
The problems on this page are the property of the MAA's American Mathematics Competitions