Question #94019
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
1
Expert's answer
2019-09-10T10:57:16-0400

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

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


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