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Sets of Numbers

Section 1.1 of Algebra II

kristin engling

on 21 August 2012

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Transcript of Sets of Numbers

Sets of Numbers a collection of items the items in the collection SUBSET EMPTY SET SET ELEMENT element element ELEMENT ELEMENT ELEMENT ELEMENT ELEMENT ELEMENT ELEMENT Real Numbers Rational Numbers Irrational Numbers Integers Whole Numbers Natural Numbers 1 2 3 4 77 31 92 0 -1 -3 -9 -12 -88 0.7 -1/3 6/7 .121212121212... -9.72 -10 2/3 We need a way to talk about sets of numbers. Roster Notation Use braces, {}, to list a FINITE set of numbers.

Example: List the even numbers between 1 and 11.
{2, 4, 6, 8, 10} Interval Notation We use these symbols ( ) and [ ] notation when we have an INFINITE set.

( and ) does NOT include the end point.
[ and ] DOES include the end point. This is very similar to inequalities. Set Builder Notation Uses properties of the elements in the set to define the set.

Inequalities and the element symbol are used in this notation. Properties of Numbers What is the special number when you are adding? What is the special number when you are multiplying? What is an ADDITIVE INVERSE? What is a MULTIPLICATIVE INVERSE?
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