We are currently on set operations and ven diagrams and I’m a little confused about the relationship between n(A union B), n(A), n(B), and n(A intersection B) The problem is this: n(U)= 60, n(A)= 27, n(B)=22 and n(A intersect B)= 5 Find n(A’ union B) the universal letter is throwing me off and confusing I appreciate your time

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
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We are currently on set operations and ven diagrams and I’m a little confused about the relationship between

n(A union B), n(A), n(B), and n(A intersection B)

The problem is this:

n(U)= 60, n(A)= 27, n(B)=22 and n(A intersect B)= 5

Find n(A’ union B)

the universal letter is throwing me off and confusing

I appreciate your time  

 

Expert Solution
Step 1

To count the number of elements in A' union B using the given information

Step 2

In words,  there are totally 60 elements ( because U , the universal set contains 60 elements. ) A contains 27 elements, so A' (the complement of A) contains 60-27 = 33 elements. 

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