A mathematical statement that one quantity is greater than or less than another. `` is less than '' is denoted , and `` is greater than '' is denoted . `` is less than or equal to '' is denoted , and `` is greater than or equal to '' is denoted . The symbols and are used to denote `` is much less than '' and `` is much greater than ,'' respectively.

Solutions to the inequality consist of the set , or equivalently . Solutions to the inequality consist of the set . If and are both Positive or both Negative and , then .

**References**

Abramowitz, M. and Stegun, C. A. (Eds.).
*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.*
New York: Dover, p. 16, 1972.

Beckenbach, E. F. and Bellman, Richard E. *An Introduction to Inequalities.* New York: Random House, 1961.

Beckenbach, E. F. and Bellman, Richard E. *Inequalities, 2nd rev. print.* Berlin: Springer-Verlag, 1965.

Hardy, G. H.; Littlewood, J. E.; and Pólya, G. *Inequalities, 2nd ed.*
Cambridge, England: Cambridge University Press, 1952.

Kazarinoff, N. D. *Geometric Inequalities.* New York: Random House, 1961.

Mitrinovic, D. S. *Analytic Inequalities.* New York: Springer-Verlag, 1970.

Mitrinovic, D. S.; Pecaric, J. E.; and Fink, A. M. *Classical & New Inequalities in Analysis.*
Dordrecht, Netherlands: Kluwer, 1993.

Mitrinovic, D. S.; Pecaric, J. E.; Fink, A. M. *Inequalities Involving Functions & Their Integrals &
Derivatives.* Dordrecht, Netherlands: Kluwer, 1991.

Mitrinovic, D. S.; Pecaric, J. E.; and Volenec, V. *Recent Advances in Geometric Inequalities.*
Dordrecht, Netherlands: Kluwer, 1989.

© 1996-9

1999-05-26