document.write( "Question 87528: x-2y>4 and x>4 \n" ); document.write( "
Algebra.Com's Answer #63450 by Edwin McCravy(20086)\"\" \"About 
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document.write( " x - 2y > 4 and x > 4\r\n" );
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document.write( "Draw the graphs of the boundary lines whose equations are\r\n" );
document.write( "found by replacing the inequality symbols with equal signs.\r\n" );
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document.write( "x - 2y = 4   \r\n" );
document.write( "     x = 4\r\n" );
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document.write( "Graph the first line x - 2y = 4\r\n" );
document.write( "It has intercepts (4,0) and (0,-2)\r\n" );
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document.write( "Now we pick a test point that is not on the line to determine\r\n" );
document.write( "which side of the line is to be shaded.\r\n" );
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document.write( "The easiest test point is the origin (0,0). so we substitute it in\r\n" );
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document.write( "   x - 2y > 4\r\n" );
document.write( " 0 - 2(0) > 4\r\n" );
document.write( "        0 > 4\r\n" );
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document.write( "This is false, so we shade the side of the line that\r\n" );
document.write( "the origin (0,0) is NOT on. That is, we shade the lower side\r\n" );
document.write( "of the green line.\r\n" );
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document.write( "Now we draw the other boundary line:\r\n" );
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document.write( "x = 4\r\n" );
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document.write( "This is a vertical line parallel to the y-axis and 4 units right\r\n" );
document.write( "of it:\r\n" );
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document.write( "Using the origin (0,0) as a test point again, we substitute it in\r\n" );
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document.write( "x > 4\r\n" );
document.write( "0 > 4\r\n" );
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document.write( "This is fals so we are to shade the side of the vertical line which\r\n" );
document.write( "the origin (0,0) is NOT on.  That is the right side of the line.\r\n" );
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document.write( "So we must shade the region which is below the green dotted line and\r\n" );
document.write( "to the right of the black dotted line:\r\n" );
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document.write( "Edwin

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