Symmetric Property of Equality

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

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. Buy the book

Cite this article as:

McAdams, David E. Symmetric Property of Equality. 5/5/2011. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/symmetricpropofequality.html.

Revision History

10/5/2007: Initial version. (McAdams, David E.)

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