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

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).