0-1: set & interval notation objective: review set and interval notation ©2002 roy l. gover...
TRANSCRIPT
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0-1: Set & Interval Notation
Objective:•Review set and interval notation
©2002 Roy L. Gover ([email protected])
Modified Mike Efram (8/23/2004)
This lesson is not in your textbook
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DefinitionA set is a collection of objects (sometimes called elements)
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Examples•The set of calculus students at Healdsburg High.•The set of real numbers•The set of math teachers who live in Sonoma County
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DefinitionA subset is a set consisting of a selection of objects within a set.
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Examples•The set of female calculus students at Healdsburg High.•The set of real numbers > 2•The set of math teachers who live in Healdsburg.
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Definition
Two kinds of set notation:•Roster notation
•Set builder notation
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ExampleRoster notation: the set of whole numbers greater than 20:
21,22,23,24,...A
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ExampleRoster notation: the set of whole numbers greater than 20 and less than 25:
21,22,23,24A
Write a subset of set A using roster notation.
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Try ThisWrite using roster notation the set F of integers greater than or equal to 12.
12,13,14,...F
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ExampleSet Builder notation:the set of integers greater than or equal to 12.
| is an integer and 12F x x x
such that
variable description
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Try This
Write using set builder notation the set B of real numbers between 3 and 8. | and 3 8B x x x
element
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ExamplesInterval notation:•(3,8) all reals between 3 & 8 (open interval)Be careful, this looks like an ordered pair
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ExamplesInterval notation:•[3,8] all reals between 3 & 8 plus 3 plus 8 (closed interval)
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ExamplesInterval notation:
What could this mean?
•(3,8]
•[3,8)
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Try ThisWrite using interval notation the domain and range of:
( ) 2f x x
Domain:
Range:
2,
0,
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What is incorrect about (0, ]?
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Lesson CloseInterval and set notation will be used in many of our calculus lessons. You can now express the domain and range of your parent graphs in either notation.
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Assignment
Algebra Atrocities
and
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