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**Additional info for Algebra I (Cliffs Quick Review)**

**Example text**

Fred, Tom, Bob} Venn diagrams (and Euler circles) are ways of pictorially describing sets, as shown in Figure 3-1. Figure 3-1 A Venn diagram. A C B Types of sets Finite sets are countable; they stop—{1, 2, 3} = {3, 2, 1}. Infinite sets are uncountable; they continue forever—{1, 2, 3 . . }. F 4/27/01 9:37 AM Page 37 Chapter 3: Terminology, Sets, and Expressions 37 Comparing sets Equal sets are those that have the exact same members—{1, 2, 3} = {3, 2, 1}. Equivalent sets are sets that have the same number of members— {1, 2, 3} + {a, b, c}.

The set of 2, 3 is a subset of the set of 1, 2, 3. The universal set is the general category set, or the set of all those elements under consideration. The empty set, or null set, is a set with no members— 4 or { }. Describing sets Rule is a method of naming a set by describing its elements. {x|x > 3, x is a whole number} {all students in the class with blue eyes} Roster is a method of naming a set by listing its members. {4,5,6, . . } {Fred, Tom, Bob} Venn diagrams (and Euler circles) are ways of pictorially describing sets, as shown in Figure 3-1.

F 36 4/27/01 9:37 AM Page 36 CliffsQuickReview Algebra I Set Theory A set is a group of objects, numbers, and so forth—{1, 2, 3}. An element is a member of a set. 3 ! {1, 2, 3}. 3 is an element of the set of 1, 2, 3. Special sets A subset is a set within a set—{2, 3} 1 {1, 2, 3}. The set of 2, 3 is a subset of the set of 1, 2, 3. The universal set is the general category set, or the set of all those elements under consideration. The empty set, or null set, is a set with no members— 4 or { }. Describing sets Rule is a method of naming a set by describing its elements.