Section 7.3 - Terms Section 7.3 Sets Set‐ Well‐defined...

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Unformatted text preview: 2/22/2008 Terms Section 7.3 Sets Set‐ Well‐defined collection of objects Elements‐‐objects in a set A⊆ B Subsets—Set A is a subset of B (written ) if every element in A is also in B Set Equality—Two sets are equal if they are subsets of each other. More Terms Universal Set‐‐ Empty Set Intersection of Sets Union of Sets Examples: Let A = {a, b, c}, B= {c, d}, C = {e} and U={a, b, c, d, e, f} ∪ 12) A’ B ∩ 16) (A B’)’ Venn Diagram A way to visualize intersections and unions of sets by drawing a rectangle to represent the universal set and then drawing two or more circles within the rectangle representing the sets under discussion. A Examples: Use Venn diagrams to shade the given set. 23)A’ B’ ∩ ∩ 26) A – (B C) B 1 2/22/2008 More Terms The Complement of a set A’ is the set of all elements of the universal set U that are not in A. ∉ A’ = {x: (xЄU) and (x A)} Generalizations of Intersection and Unions The idea of intersection and union may be generalized to more than two sets in the natural way. The Difference of Set B – A is the set of all elements of B that are not in A. ∉ B – A = {x: (xЄB) and (x A)} 2 ...
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