document.write( "Question 448462: How do you graph y ≧ x + 5 ? \n" ); document.write( "

Algebra.Com's Answer #308584 by Edwin McCravy(20056) $\"\"$ $\"About$

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How do you graph y ≧ x + 5 ?
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document.write( "First draw the graph of the boundary line y = x + 5\r\n" );
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document.write( "Now pick any test point to find out which side of\r\n" );
document.write( "the line to shade.\r\n" );
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document.write( "We can pick any point that is not on the line.  The\r\n" );
document.write( "easiest point to test is the origin (0,0).\r\n" );
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document.write( "Substitute x=0 and y=0 in y ≧ x + 5 to find out if\r\n" );
document.write( "the origin is a solution. If it is then all points on\r\n" );
document.write( "the same side as the origin are solutions and we would\r\n" );
document.write( "shade the side of the line that the origin is on. If\r\n" );
document.write( "the origin is not a solution, then all the points on\r\n" );
document.write( "the other side of the line are solutions and we would \r\n" );
document.write( "shade the upper side of the line.\r\n" );
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document.write( "Let's test (0,0) to see if it is one of the solutions:\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 all the solutions are on the side of the\r\n" );
document.write( "line which the origin is NOT on, which is the upper side,\r\n" );
document.write( "so the solution is:\r\n" );
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document.write( "Notice that \"greater than OR EQUAL\" includes \"EQUALS\", and\r\n" );
document.write( "since the graph of the boundary line is y EQUALS x + 5, the\r\n" );
document.write( "graph includes the line.  We can tell this because it is\r\n" );
document.write( "≧, not >.  If it had been > we would have drawn the\r\n" );
document.write( "line dotted, not solid.\r\n" );
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document.write( "Edwin

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