Concept explainers
Let the universal set
To find: The elements of the complement of set B.
Answer to Problem 32P
In roster form,
In set builder form,
Explanation of Solution
Given information:
The universal set U and the set B are defined as
U = { all the months in a calendar year}
B = { all months that have 31 days}
Calculation:
The complement of set B (denoted by
Now, The universal set U is the set of all the months in a calendar year , and the set B is the set of all months that have 31 days, that is set B is contains the months January, March, May, July, August, October, December .
Therefore, complement of set B contains the months in a calendar year that have not 31 days.
Therefore, complement of set B is
In set builder form,
Chapter 3 Solutions
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