Answer to Question #94019 in Discrete Mathematics for Daniel

Question

7.The family of all the subsets of any set S is called
a.the power set of S
b.the null set of S
c.the identity set of S
d.the cardinality set of S

8.Let E = {2, 4, 6, ...}. What is the compliment of the set E?
a.odd numbers
b.prime numbers
c.even numbers
d.rational numbers

Answer 1

The family of subsets of any set $S$ is called the power set of $S$, so the answer to question 7 is a).

Assuming that the universe is the set of natural numbers $\mathbb{N} = {1, 2, 3, ...}$ , by definition, the complement of E is $E^c = \mathbb{N} \setminus E = 1, 3, 5, ...$ - the set of odd numbers, so the answer to question 8 is a).