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378 Venn Diagrams Study Sheet

378 Venn Diagrams Study Sheet - SET THEORY&VENN...

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Unformatted text preview: SET THEORY &VENN DlAGRAMS These are abstract ways of depicting events, experiments, and possible outcomes that do not require actually seeing data or results. The following list defines basic terminology. For each term, write the common set notation and/or draw a sample Venn diagram (as examples, a few items are completed for you). These definitions and terms are discussed in section 2.3 of the textbook. a. Set = collection of elements (often times the possible outcomes of an experiment) A = {a1} a2, a3, am} Set A consist of w eLemmts, a1, 912, as, a W. b. Venn‘Diagrams = a visual depiction of possible outcomes using geometric sh apes and shading. c. Universal Set = collection of all possible elements in consideration Sometimes oaLLeol‘ Q ' ' d. Null Set (Empty Set) = set consisting of no elements e. Subset = A is a subset of B if every element in A is also in B. t. intersection of A and C = All elements in both A and G. 9. Union ofA and C = All elements in either A or C (or both) it. Complement of A = All elements in S that are not in A i. Disjoint Sets: A and B are “disjoint” or “mutually exclusive" if they share no common elements. AflB=U Afl-B=¢ j. Distributive Properties (p 24) AUOsnc): (AUe)n(AUe) Ann‘eUe): (AflE)U(AflC) k. De Morgan’s Laws (p 24) ...
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