Precalc0001to0005-page7

Precalc0001to0005-page7 - § Example Set 4 (Various Types...

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(Section 0.1: Sets of Numbers) 0.1.6 Example 3 (A Bounded, Closed Interval) The set of all real numbers x such that 3 ± x ± 5 … in set-builder form is: x ± ± 3 ² x ² 5 {} , or x ± ± :3 ² x ² 5 {} … in graphical form is: … in interval form is: 3, 5 ± ² ³ ´ The set is a closed interval , because it includes its endpoints. The inclusion of 3 and 5 is indicated by the use of: weak inequality signs ( ± ) in set-builder form, filled-in circles (or brackets ) in graphical form, and brackets in interval form.
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Unformatted text preview: § Example Set 4 (Various Types of Intervals) Set-builder Form Graphical Form Interval Form Type of Interval x ± ± 3 ² x < 5 { } 3, 5 ± ² ) Bounded; Half-Open x ± ± 3 < x ² 5 { } 3, 5 ( ± ² Bounded; Half-Open x ± ± x > 3 { } 3, ± ( ) Unbounded x ± ± x ² 3 { } 3, ± ² ³ ) Unbounded x ± ± x < 3 { } ± ² , 3 ( ) Unbounded x ± ± x ² 3 { } ± ² , 3 ( ³ ´ Unbounded x x ± ± { } , which is ± ± ² , ² ( ) Unbounded §...
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This document was uploaded on 12/29/2011.

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