Precalc0001to0005-page2

Precalc0001to0005-page2 - PART B SETS OF NUMBERS A set is a...

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(Section 0.1: Sets of Numbers) 0.1.1 SECTION 0.1: SETS OF NUMBERS LEARNING OBJECTIVES • Be able to identify different sets of numbers. • Know how to write sets of real numbers using set-difference, set-builder, graphical, and interval forms. PART A: DISCUSSION • Theorems and formulas often require constants (denoted by c , n , a 1 , a 2 , etc .) to be from a particular set of numbers , usually the set of real numbers (denoted by ± ). • Sets of real numbers can correspond to solutions of equations (see Section 0.11), solutions of inequalities (see Section 0.12), and domains and ranges of functions (see Section 1.1). There are several ways to describe these sets.
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Unformatted text preview: PART B: SETS OF NUMBERS A set is a collection of objects, called the elements or members of the set. • Two sets are equal when they consist of the same elements. Typically, order is irrelevant, and elements are not repeated. ± denotes the empty set , or null set , the set consisting of no elements. Let A and B be sets. A is a subset of B , denoted by A ± B , when every element of A is also an element of B . If A ± B , but A ± B , then A is a proper subset of B , denoted by A ± B . This means that B contains all of the elements of A , as well as at least one other element not in A ....
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