Precalc0001to0005-page8

Precalc0001to0005-page8 - both sets. A B = x x A and x B {...

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(Section 0.1: Sets of Numbers) 0.1.7 WARNING 2 : In interval form , parentheses are placed next to ± and ±² , because they are not real numbers and are therefore excluded from the set. • However, sources differ on how to classify unbounded intervals as open, closed, or half-open. For example, sources differ on whether ± is an open interval or a closed interval. A ± B , the union of set A and set B , consists of all elements in one or both sets. A ± B = x x ² A or x ² B {} , where “or” is taken to be “inclusive or,” or “and/or.” The symbol ± denotes “or.” A ± B , the intersection (“overlap”) of set A and set B consists of all elements in
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Unformatted text preview: both sets. A B = x x A and x B { } . The symbol denotes and. Example 5 (A Union of Intervals) The set \ 1, { } , which is written in set-difference form , consists of all real numbers except 1 and . The set in set-builder form is: x x 1 and x { } , or x : x 1 and x { } in graphical form is: in interval form is: , 1 ( ) 1, ( ) , ( ) TIP 1 : The graphical form can help us write the interval form . TIP 2 : The union symbol separates intervals in interval form whenever a real number must be skipped over....
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This document was uploaded on 12/29/2011.

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