In order to have the greatest value, the numerator must be maximum and the denominator must be minimum. Clearly, we can see that option B will give us the maximum value

We can also plug in the option choices;

A. \(<0> = \frac{0+1}{0-1} = -1\)

B. \(<2> = \frac{2+1}{2-1} = 3\)

C. \(<3> = \frac{3+1}{3-1} = 2\)

D. \(<4> = \frac{4+1}{4-1} = \frac{5}{3}\)

E. \(<5> = \frac{5+1}{5-1} = \frac{3}{2}\)