Complexity Explorer Santa Fe Institute

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Vector and Matrix Algebra

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1.4 Boolean Set Operations » Quiz #1 Solution

Question 1:  Recall that the union of two sets is the set of elements that appear in either of the two sets, but that each element appears only once in the union.  For example, while 2 is in both A and B, it only appears once in A \cup B.  The only element in B that is not in A is 8, so has all of the elements of A as well as 8. 

 

Question 2: Recall that the intersection of two sets is the set of elements that appear in both of the two sets.  The elements that appear in both A and B are {2, 3, 7}. 

 

Question 3: From Question 2, we know that A \cup B = \{2,3,7\}.  The union of this set with C adds the values 4 and 5.