Question

List explicitly the members of each of the following sets. What

is the cardinality of their power sets?
(a) Sa = d is a day of the week and d starts with the letter Tor F

Answer 1

The members of set Sa are Tuesday, Thursday, and Friday. The cardinality of Sa is 3. The cardinality of its power set, determined by 2^n, is 8.

Step-by-step explanation:

List explicitly the members of each of the following sets. What is the cardinality of their power sets?
(a) Sa = d

Answer: The set Sa includes the days of the week that start with the letter T or F. This includes:

• Tuesday
• Thursday
• Friday

The cardinality of the set Sa is 3 (since there are 3 days). The power set of Sa is the set of all subsets of Sa, including the empty set. To find the cardinality of the power set, we use the formula 2^n, where n is the cardinality of the original set. So, the cardinality of the power set of Sa is 2^3, which equals 8. Thus, there are 8 subsets in the power set of Sa.