document.write( "Question 112049: Graph the inequality.
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Algebra.Com's Answer #81745 by Edwin McCravy(20055)\"\" \"About 
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document.write( "Graph the inequality.\r\n" );
document.write( "2x + 3y > 6\r\n" );
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document.write( "First draw the graph of the boundary line,\r\n" );
document.write( "whose equation is same as the inequality\r\n" );
document.write( "with and equal sign replacing the \" > \".\r\n" );
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document.write( "We get two points. The two intercepts are the\r\n" );
document.write( "easiest to get (0,2) and (3,0).  Then we plot\r\n" );
document.write( "those and draw a dotted line through them.\r\n" );
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document.write( "Now we must decide which side of the dotted line to\r\n" );
document.write( "shade, by these rules.\r\n" );
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document.write( "1. If the coefficient of x is positive:\r\n" );
document.write( "   A. Shade the side to the right the line if the inequality is \r\n" );
document.write( "      either \">\" or \">\r\n" );
document.write( "   B. Shade the side to the left of the line if the inequality is \r\n" );
document.write( "      either \"<\" or \"<\r\n" );
document.write( "2. If the coefficient of x is negative:\r\n" );
document.write( "   A. Shade the side to the left of the line if the inequality is \r\n" );
document.write( "      either \">\" or \">\r\n" );
document.write( "   B. Shade the side to the right of the line if the inequality is \r\n" );
document.write( "      either \"<\" or \"<\r\n" );
document.write( "3. If the coefficient of y is positive:\r\n" );
document.write( "   A. Shade the upper side of the line if the inequality is \r\n" );
document.write( "      either \">\" or \">\r\n" );
document.write( "   B. Shade the lower side of the line if the inequality is \r\n" );
document.write( "      either \"<\" or \"<\r\n" );
document.write( "4. If the coefficient of y is negative:\r\n" );
document.write( "   A. Shade the lower side of the line if the inequality is \r\n" );
document.write( "      either \">\" or \">\r\n" );
document.write( "   B. Shade the upper side of the line if the inequality is \r\n" );
document.write( "      either \"<\" or \"<\r\n" );
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document.write( "2x + 3y > 6\r\n" );
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document.write( "In this case, both coefficients are positive and the inequality\r\n" );
document.write( "is \" > \", so both 1.A. and 3.A. apply so we shade the side which \r\n" );
document.write( "is both above and to the right side of the line. \r\n" );
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document.write( "Edwin
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