Symmetric Property of Equality

Pronunciation: /sɪˈmɛ trɪk ˈprɒpərti ʌv ɪˈkwɒl ɪ ti/ ?

The symmetric property of equality for real numbers states that if a = b, then b = a.

Discovery

Is less than (<) symmetric for real numbers? If it is symmetric, then for all real numbers, if a < b then b < a. Can you find a pair of numbers for which this is not true? Write a proof for your conclusion.

References

  1. Gilbert, Jimmie; and Gilbert Linda. Elements of Modern Algebra, 6th edition, pp 49-50. Thomson, Brooks/Cole, 2005.

Cite this article as:


Symmetric Property of Equality. 2007-10-05. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/symmetricpropofequality.html.

Translations

Image Credits

Revision History


2007-10-05: Initial version (McAdams, David.)

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2005-2011 Life is a Story Problem LLC. All rights reserved.
Creative Commons License This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License