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Inequality Rules

Algebra rules for manipulating inequalities are listed below.

 


Transitive Property of Inequalities

If a < b and b < c , then a < c.
If a b and b c , then a c.
If a > b and b > c , then a > c.
If a b and b c , then a c.

 

See also

Equation rules, trichotomy, equivalence properties of equality

 


  this page updated 28-jul-14
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes