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Properties of Inequality
The following are the properties of inequality for real numbers . They are closely related to the properties of equality , but there are important differences.
Note especially that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality.
PROPERTIES OF INEQUALITY |
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Anti reflexive Property |
For all real numbers , |
Anti symmetry Property |
For all real numbers and , |
Transitive Property |
For all real numbers ,
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Addition Property |
For all real numbers ,
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Subtraction Property |
For all real numbers ,
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Multiplication Property |
For all real numbers ,
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