Problem: Let T=3−81−8−71+7−61−6−51+5−21; then
Answer Choices:
A. T<1
B. T=1
C. 1<T<2
D. T>2
E. T=(3−8)(8−7)(7−6)(6−5)(5−2)1
Solution:
By rationalizing the denominator of each function, we see
T=(3+8)−(8+7)+(7+6)−(6+5)+(5+2)=3+2=5