5.5 - Systems of Inequalities

5.5 - Systems of Inequalities -

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<?xml version="1.0" encoding="iso-8859-1"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>5.5 - Systems of Inequalities</title> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1" /> <link href=". ./m116.css" rel="stylesheet" type="text/css" /> </head> <body> <h1>5.5 - Systems of Inequalities</h1> <h2>Graph of an Inequality</h2> <p>When we were dealing with one variable, the graph of an inequality was some interval on the real number line. Now we are dealing with two variables, and the graph of an inequality is the set of all ordered pairs (x, y) that satisfy the inequality. Typically, this will be represented by a half-plane.</p> <h2>Sketching an Inequality in Two Variables</h2> <ol> <li>Replace the inequality with an equal sign and sketch the resulting equation. Use a solid line if the equal to is included (&lt;= or &gt;=) and a dashed line of the inequality is
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This note was uploaded on 10/18/2011 for the course MAT 1033 taught by Professor Brown during the Spring '10 term at Valencia.

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5.5 - Systems of Inequalities -

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