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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 Spring '08
 PamelaSatterfield
 Sets, Union of sets, Set‐ Well‐defined collection

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