1 / 9

1-2 Sets and Domains

1-2 Sets and Domains. Goals: 1. Review the graphing of inequalities. 2. See that the domain of a variable makes a difference in the solution. 3. Review the names of commonly used number systems. What is a Set?. Name of set Name of member Team Player Class Student

royr
Download Presentation

1-2 Sets and Domains

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1-2 Sets and Domains Goals: 1. Review the graphing of inequalities. 2. See that the domain of a variable makes a difference in the solution. 3. Review the names of commonly used number systems.

  2. What is a Set? Name of set Name of member Team Player Class Student Deck Card … … Ex. Standard symbol for a set: { , , , } Braces with commas used to separate the members A set is a collection of objects called elements or members that are usually grouped for a purpose.

  3. Frequently Used Sets of Numbers What numbers are included in these sets? Whole numbers Integers Natural Numbers Real Numbers

  4. Domains of Variables Domain: all the values that may be meaningfully substituted in for a variable Solution Set: The set of numbers from the domain that actually are solutions.

  5. Example • Graph all solutions to x< 8 when the domain of x is the indicated set. • Whole numbers • Integers • Real numbers Solutions sets of inequalities often shown on number lines

  6. Choosing a Reasonable Domain Ex. #1 • Let x be the number of students in Algebra class. • Name a reasonable domain for x. • Assume that there are more that 12 people in class, and write an algebraic sentence for x. • Graph the solution set to part 2.

  7. Choosing a Reasonable Domain Ex. #2 • In the Beaufort scale, a force 11 wind is termed a storm. Force 11 winds include winds 64 to 75 miles per hour which are strong enough to cause widespread damage. Let s = wind speed. • Name a reasonable domain for s. • Write an algebraic inequality to describe the possible speeds of a force 11 wind. • Graph the solution set to part 2.

  8. Intervals Some solution sets are intervals. An interval is a set of numbers between two numbers a and b, that may or may not include a and/or b. The numbers a and b are called end points. Open interval doesn’t include the end points. Closed interval includes the end points. Neither open nor closed interval includes only one end point.

  9. Follow Up • Work with a partner or by yourself to complete 1-19 odd numbered problems on pages 14-15. • Begin homework.

More Related