Which sentence correctly translates the sentence shown here, -3 < 2? A. Negative three is to the left of two on the number line.
B. Negative three is to the right of two on the number line.
C. Negative three and two are to the right of 0 on the number line.
D. Negative three and two are to the right of 0 on the number line

where are the choices?

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.