Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. Complete the inequality below.

_____ ≤ f(4) - f(2) ≤ ______

Integrate each term of the original inequality

2x <= f(x) <= 3x

Calculate the values of f(4) and f(2)

8 <= f(4) <= 12
4 <= f(2) <= 6

Subtract the second inequality from the first:

8 - 4 <= f(4) - f(2) <= 12 - 6
4 <= f(4) - f(2) <= 6

3 3