document.write( "Question 823297: How do you graph an inequality like
\n" ); document.write( "3x-y > - 6?
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Algebra.Com's Answer #495396 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "3x-y > -6\r\n" );
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document.write( "First you graph, just the bountary line, whose equation is\r\n" );
document.write( "just like the inequality with an = sign instead of >\r\n" );
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document.write( "The equation of the boundary line is\r\n" );
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document.write( "3x-y = -6 \r\n" );
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document.write( "We getting a couple or three points, maybe the intercepts \r\n" );
document.write( "(-2,0) and (0,6), maybe one other (-3,-3).  Since the ineuality\r\n" );
document.write( "symbol is > and not ≦, we draw the line dotted, not solid:\r\n" );
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document.write( "Now we select a test point to find out which side of the line we\r\n" );
document.write( "are to shade.  We can test any point that isn't on the line; however\r\n" );
document.write( "since the origin (0,0) is not on the line, we test to see if it is a\r\n" );
document.write( "solutio to the original inequality.  If it is then all solutions will\r\n" );
document.write( "be on the same side of the dotted line that the origin is on. If the\r\n" );
document.write( "origin is not a solution, we will shade the other side.\r\n" );
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document.write( "We substitute (x,y) = (0,0) in the original inequality:\r\n" );
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document.write( "    3x-y > -6\r\n" );
document.write( "3(0)-(0) > -6\r\n" );
document.write( "       0 > -6\r\n" );
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document.write( "That is true because 0 is greater than any negative number.  So we\r\n" );
document.write( "shade the side of the line that the origin is on:\r\n" );
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document.write( "Edwin
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