Pronunciation: /kəmˈplɛks ˌɪn ɪˈkwɒl ɪ ti/ Explain
Click on the points on the sliders and drag them to change the figure.|
Why is there nothing showing on the numberline when the red slider shows a number greater than the blue slider?
|Manipulative 1 - Complex Inequality Created with GeoGebra.||
A complex inequality is two or more
in a single statement. A complex inequality is a
of two or more inequalities. This means that all the inequalities must be
true at the same time. The complex inequality -2 < a ≤ 4 can
also be written -2 < a and a ≤ 4.
Graphing Complex Inequalities
|1||-2 < a ≤ 3||This is the inequality to graph|
|2||-2 < a ≤ 3||Since -2 < a, -2 is not included in the inequality. Put a hollow dot at -2.|
|3||-2 < a ≤ 3||Since a ≤ 3, 3 is included in the inequality. Put a solid dot at 3.|
|4||-2 < a ≤ 3||The left-hand side of the inequality states that a member of the inequality must be greater than -2.|
|5||-2 < a ≤ 3||The right-hand side of the inequality states that a member of the inequality must be less than or equal to 3.|
|6||-2 < a ≤ 3||Any point that is included in the inequality must be in both rays, so draw a line segment for the points included in both rays.|
|7||-2 < a ≤ 3||Remove the extra rays.|
- inequality. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 8/6/2018. http://www.merriam-webster.com/dictionary/inequality.
- Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry. pp 248-253. www.archive.org. International Textbook Company. January 1963. Last Accessed 8/6/2018. http://www.archive.org/stream/algebraandtrigon033520mbp#page/n265/mode/1up/search/inequality. Buy the book
- McAdams, David E.. Inequality. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/27/2018. http://www.allmathwords.org/en/i/inequality.html.
Cite this article as:
McAdams, David E. Complex Inequality. 6/25/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/complexinequality.html.
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
1/18/2010: Changed figure to GeoGebra application. (McAdams, David E.)
10/26/2009: Added additional description and 'Graphing Complex Inequalities'. (McAdams, David E.)
11/28/2008: Initial version. (McAdams, David E.)