Precalc0001to0005-page6

Precalc0001to0005-page6 - Example 2 (A Bounded, Open...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
(Section 0.1: Sets of Numbers) 0.1.5 PART E: REPRESENTING SETS OF REAL NUMBERS There are various ways to represent a set of real numbers. When feasible, we can list the elements of a set and surround them with braces. For example, the set 1, ± {} consists of the two elements 1 and . On the other hand, the set ± \1 , {} , which is written in set-difference form , consists of all real numbers except 1 and . An interval corresponds to a connected (“unbroken”) piece of the real number line. A bounded interval has finite length on the real number line. An unbounded interval has infinite length.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Example 2 (A Bounded, Open Interval) The set of all real numbers x such that 3 < x < 5 in set-builder form is: x 3 < x < 5 { } , or x : 3 < x < 5 { } in graphical form is: in interval form is: 3, 5 ( ) The set is an interval with 3 and 5 as its endpoints . The set is an open interval , because it excludes its endpoints. The exclusion of 3 and 5 is indicated by the use of: strict inequality signs (<) in set-builder form, hollow circles (or parentheses ) in graphical form, and parentheses in interval form....
View Full Document

Ask a homework question - tutors are online