Let q be twice differentiable on [0,2] with q′(x)>0 and q′′(x)<0 for all x in this interval. Using equal subintervals of width Δx=0.5, a student computes a left Riemann sum L and a trapezoidal sum T to approximate ∫02q(x)dx=I. Which of the following inequalities must be true?
a) T<L<I
b) L<I<T
c) L<T<I
d) I<L<T