Recognize and appropriately apply basic set theory including Venn diagrams.

1. Correctly assess set membership. For example, given two set descriptions identify if a number is a member of one, the other, both, or neither.
   Web Content:
   • Palay: Set Membership 11:02 (script).
2. Correctly identify the relationship between two given sets, including subset, proper subset, equality, inequality, and disjoint. For example, given two sets choose the strongest correct relation between the two.
   Web Content:
   • Palay: Set Relationships 10:46 (script).
3. Correctly identify the expressions {}, ∅, {∅}, {∅,{∅}}, and {∅,{∅},{∅,{∅}}. For example, which of the following is (are) correct representations of the empty or null set? A:{}, B:∅, C:{∅}, D:{∅,{∅}}, and E:{∅,{∅},{∅,{∅}}
   Web Content:
   • Palay: The Empty Set 1:56 (script).
4. Correctly identify and/or construct set union and intersection. For example, given five sets identify if a sixth set is the intersection, or union, of various pairs of those sets.
   Web Content:
   • Palay: Set Union 6:59 (script).
   • Palay: Set Intersection 6:29 (script).
5. Correctly construct a set complement. For example, give a universal set and a a particular set A, find A' or A^c.
   Web Content:
   • Palay: The Complement of a Set 8:11 (script).
6. Correctly determine the cardinality of a set. For example, given A=the set of multiples of 3 between 5 and 35, find n(A).
   Web Content:
   • Palay: The Cardinality of a Set 4:42 (script).
7. Correctly construct the Cartesian Product of two given sets. For example, if A={1,3,5,7, 9} and B={4,5,6} find B×A?
   Web Content:
   • Palay: The Cartesian Product of two Sets 9:45 (script).
8. Correctly determine the cardinality of a union of two sets given the cardinality of each set and the cardinality of the intersection of the two sets. For example given n(A)=21, n(B)=17, and n(A∩B)=5, find n(A∪B)?
   Web Content:
   • Palay: The Cardinality of a Union 5:40 (script).
9. Correctly illustrate the relationship between three sets and their Venn Diagrams, For example, create a Venn Diagram for the sets A={1,2,3,4,5}, B={2,4,6,8,10,12}, and C={3,6,9,12,15,18,21}.
   Web Content:
   • Palay: Venn Diagrams 11:35 (script).
10. Correctly distinguish between a formal set and a list (a list can have duplicate members whereas a set cannot). For example, which of the following would qualify as a list, but not as a formal set?
    Web Content:
    • Palay: Sets and Lists 4:47 (script).