Solve the problem by using a compound inequality. See Example 12.Higher education. The fun...

Solve the problem by using a compound inequality. See Example 12.

Higher education. The functions

and

can be used to approximate the number of bachelor’s and master’s degrees in thousands, respectively, awarded per year, n years after 1990 (National Center for Educational Statistics, www.nces.ed.gov).

a) How many bachelor’s degrees were awarded in 2000?

b) In what year will the number of bachelor’s degrees that are awarded reach 1.4 million?

c) What is the first year in which both B is greater than 1.4 million and M is greater than 0.55 million?

d) What is the first year in which either B is greater than 1.4 million or M is greater than 0.55 million?

Figure for Exercise 87