Complexity Explorer Santa Fe Institute

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Vector and Matrix Algebra

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1.4 Boolean Set Operations » Quiz #2 Solution

Question 1: The only elements that sets A and B have in common are 4 and 5. 

 

Question 2: Recall that the complement of a set A is the set of elements from the "Universe" (U) not contained in A.  In this question, the elements of U not contained in A are 8, 9, and 10. 

 

Question 3:  Z \cup Q is the combined set of the integers and the rational numbers, which is equal to Q, since all integers are rational.  So (Z \cup Q) \cap R = Q \cap R.  But since Q is a subset of R, the intersection of Q and R is just Q.