document.write( "Question 770346: Graph the inequality on a coordinate plane.
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Algebra.Com's Answer #469452 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Graph the inequality on a coordinate plane.
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document.write( "We draw the boundary line which has the equation that is\r\n" );
document.write( "like the inequality except that it has an equal sign instead\r\n" );
document.write( "of a \"<\".\r\n" );
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document.write( "Boundary line's equation is -y = 3x - 5.  Let's multiply that\r\n" );
document.write( "through by -1.\r\n" );
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document.write( "y = -3x + 5\r\n" );
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document.write( "Letting x = 0, we get y = -3(0) + 5 = 5, so (0,5) is a point on the line.\r\n" );
document.write( "Letting x - 1, we get y = -3(1) + 5 = 2, so (1,2) is a point on the line.\r\n" );
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document.write( "We plot those and draw a dotted line through them, dotted because\r\n" );
document.write( "the solution set does not include its boundary line, since the\r\n" );
document.write( "inequality is <, and not <.\r\n" );
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document.write( "Then we pick a test point not on the line.  We can pick (0,0) since\r\n" );
document.write( "it is not on the line.  We test to see if (0,0) is a solution or not.\r\n" );
document.write( "We substitute it in the original inequality:\r\n" );
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document.write( "-y < 3x - 5\r\n" );
document.write( "-0 < 3(0) - 5\r\n" );
document.write( " 0 < -5\r\n" );
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document.write( "That is false, so all the solutions are on the OPPOSITE side of the\r\n" );
document.write( "boundary line that the origin is on, so we shade the side of the line\r\n" );
document.write( "which the origin is not on:\r\n" );
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document.write( "  Edwin

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