Lecture Notes 15

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Unformatted text preview: . c. Set Difference Consider the following sets: C = {x | x is a college graduate} S = {x | x earns at least \$40,000} The set of individuals earning at least \$40,000 but not a college graduate is called the complement of C relative to S, or the set difference of S and C. The complement of A relative to B, written B − A, is the set of all elements in B that are not in A. Note B − A that is not read as “B minus A.” Minus is an operation on numbers and set difference is an operation on sets. Relative Complement A B This is the set of all elements in B and not in A. Example 3 If Find a. A – B b. B – A c. B – C d. C − B Properties of Set Operations Commutative Properties For all sets A and B, Since the order of the elements in a set is not important, it does not matter...
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This document was uploaded on 03/09/2014 for the course MATH 122 at Western Nevada College.

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