Trichotomy property - PowerPoint PPT Presentation

1.6 Solving Inequalities.

1.6 Solving Inequalities. Trichotomy Property. a &lt; b a = b a &gt; b. Nonnegative Property. Transitive Property of Inequalities. If a &lt; b and b &lt; c ,then a &lt; c . If a &gt; b and b &gt; c , then a &gt; c. Addition Property of Inequalities. If a &lt; b , then a + c &lt; b + c .

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6.5 Objective: To solve inequalities and graph the solution

6.5 Objective: To solve inequalities and graph the solution. Linear Inequalities. A linear inequality is of the form. where a, b and c are real numbers. Trichotomy Property For any two real numbers a and b , either a &lt; b a = b a &gt; b. Addition/Subtraction Properties

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