Which inequality defines the problem below?
hosting a breakfast brunch for 25 people, you plan to serve scrambled eggs. the grocery store sells eggs in a cartons, and each carton can feed 4 people. how many cartons of eggs must you buy to ensure each guest a serving?
a. 4c = 25
b. 25 > = 4c
c. 4c > = 25
d. 4c < 25
e. 25c > 4

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.