document.write( "Question 675208: y< 7/3x-5. Sketch the graph of the linear inequality \n" ); document.write( "

Algebra.Com's Answer #419612 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "y < x - 5\r\n" );
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document.write( "First we draw the graph of the boundary line y = x - 5.\r\n" );
document.write( "Two points on that line are (0,-5) and (3,2).  We must draw the line\r\n" );
document.write( "dotted because the inequality is < and therefore does not include \r\n" );
document.write( "the boundary line:\r\n" );
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document.write( "Since the line does not go through the origin we can use (0,0) as\r\n" );
document.write( "a test point to see whether the origin is a solution.  If it is a\r\n" );
document.write( "solution then all points are on the same side of the boundary line \r\n" );
document.write( "as the origin and if the origin is not a solution, all the solutions\r\n" );
document.write( "are on the side the origin is not on.  So we substitute (x,y) = (0,0)\r\n" );
document.write( "in the original inequality:\r\n" );
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document.write( "y < x - 5\r\n" );
document.write( "0 < ·0 - 5\r\n" );
document.write( "0 < -5\r\n" );
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document.write( "That is false so we must shade the side of the line that the origin\r\n" );
document.write( "is not on:\r\n" );
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document.write( "Edwin

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