# 0-1: Set & Interval Notation Objective: Review set and interval notation ©2002 Roy L. Gover ([email protected])[email protected] Modified Mike Efram (8/23/2004)

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• 0-1: Set & Interval NotationObjective:Review set and interval notation2002 Roy L. Gover ([email protected])Modified Mike Efram (8/23/2004)This lesson is not in your textbook

• DefinitionA set is a collection of objects (sometimes called elements)

• ExamplesThe set of calculus students at Healdsburg High.The set of real numbersThe set of math teachers who live in Sonoma County

• DefinitionA subset is a set consisting of a selection of objects within a set.

• ExamplesThe set of female calculus students at Healdsburg High.The set of real numbers > 2The set of math teachers who live in Healdsburg.

• DefinitionTwo kinds of set notation:Roster notationSet builder notation

• ExampleRoster notation: the set of whole numbers greater than 20:

• ExampleRoster notation: the set of whole numbers greater than 20 and less than 25:Write a subset of set A using roster notation.

• Try ThisWrite using roster notation the set F of integers greater than or equal to 12.

• ExampleSet Builder notation:the set of integers greater than or equal to 12.

• Try ThisWrite using set builder notation the set B of real numbers between 3 and 8.

• ExamplesInterval notation:(3,8) all reals between 3 & 8 (open interval)Be careful, this looks like an ordered pair

• ExamplesInterval notation:[3,8] all reals between 3 & 8 plus 3 plus 8 (closed interval)

• ExamplesInterval notation:What could this mean?(3,8][3,8)

• Try ThisWrite using interval notation the domain and range of:Domain:Range:

• 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.

• AssignmentAlgebra Atrocities andContinue work on Portfolio ##### Unit 1: Inequalities, Equations, and 1: Inequalities, Equations, and Graphs Interval Notation Interval notation is a convenient and compact way to express a set of numbers on the real
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