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# am_lect_11 - Announcements Quiz 1 solutions available...

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Announcements Quiz 1 solutions available Graded quizzes will be returned next week

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Sets A set is an unordered collection of objects Three ways to define a set: 1. Describe its contents in mathematical English (e.g., the set of all integers greater than 7) 2. List all the members of the set (e.g., { 8, 9, 10, … }) 3. Use set-builder notation: { x Z x > 8 } The set of all multiples of 7: { x Z : 7 x } name of variable constraint(s) such that
Careful with set notation The sets {1, 2, 3} and {3, 2, 1} are identical {1, 2, 3, 1} and {1, 2, 3} are identical The empty set is written as φ (not { }) A set can contain objects of more than one type: — { cow, 6, ! } — { a , { a , b } } — { Z , Q } The set { } contains one object, the empty set The cardinality of set A , written as | A |, is the number of objects in A — Don’t confuse the notation with absolute value

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Subset Definition : Set A is a subset of set B if every object in
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am_lect_11 - Announcements Quiz 1 solutions available...

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