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.


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.


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

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Symmetric Property of Equality. 2007-10-05. All Math Words Encyclopedia. Life is a Story Problem LLC.


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

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