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

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Presentation transcript:

0-1: Set & Interval Notation Objective: Review set and interval notation ©2002 Roy L. Gover Modified Mike Efram (8/23/2004) This lesson is not in your textbook

Definition A set is a collection of objects (sometimes called elements)

Examples The set of calculus students at Healdsburg High. The set of real numbers The set of math teachers who live in Sonoma County

Definition A subset is a set consisting of a selection of objects within a set.

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.

Definition Two kinds of set notation: Roster notation Set builder notation

Example Roster notation: the set of whole numbers greater than 20:

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

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

Example Set Builder notation:the set of integers greater than or equal to 12. such that variable description

Try This Write using set builder notation the set B of real numbers between 3 and 8. element

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

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

Examples Interval notation: What could this mean? (3,8] [3,8)

Try This Write using interval notation the domain and range of: Domain: Range:

What is incorrect about (0, ]?

Lesson Close Interval 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.

Assignment Algebra Atrocities and Continue work on Portfolio