Chapter 5.1, Problem 9E

S&P Index The Standard and Poor’s Index measures the price of a certain collection of 500 stocks. Table 3 on the next page compares the percentage change in the index during the first 5 business days of certain years with the percentage change for the entire year. Let $U=$ {all years from 1996 to 2015}, $S=$ {all years during which the index increased by 2% or more during the first 5 business days}, and $T=$ {all years for which the index increased by 16% or more during the entire year}. List the elements of the following sets:

a. $S$

b. $T$

c. $S\cap T$

d. $S\cup T$

e. $S^{\prime }\cap T$

f. $S\cap T^{\prime }$