\r\n" );
document.write( "y > 
x - 2\r\n" );
document.write( "\r\n" );
document.write( "First we draw the boundary line, which has an equation\r\n" );
document.write( "just like the inequality, but which has an equal sign\r\n" );
document.write( "in place of the > \r\n" );
document.write( "\r\n" );
document.write( "y = x - 2\r\n" );
document.write( "\r\n" );
document.write( "We graph that line either by using the y-intercept and the slope,\r\n" );
document.write( "or by finding two points. If she doesn't know how to graph a line\r\n" );
document.write( "then post again asking how.\r\n" );
document.write( "\r\n" );
document.write( "We'll draw that line dotted, not solid, because the inequality is\r\n" );
document.write( ">, not ≥, and does not include the boundary line:\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "All of the solutions to the original inequality y > x - 2\r\n" );
document.write( "are one one side of that line, but we don't know which side. So we\r\n" );
document.write( "use an arbitrary test point which is not on the line. The easiest\r\n" );
document.write( "test point to choose is the point (0,0), the origin. So we substitute\r\n" );
document.write( "x=0 and y=0 into the original inequality and see if it is true or\r\n" );
document.write( "false:\r\n" );
document.write( "\r\n" );
document.write( "y > x - 2\r\n" );
document.write( "0 > (0) - 2\r\n" );
document.write( "0 > 0 - 2\r\n" );
document.write( "0 > -2\r\n" );
document.write( "\r\n" );
document.write( "That is true since zero is greater than any negative number.\r\n" );
document.write( "\r\n" );
document.write( "Therefore since (0,0) is a solution, all the points on the same\r\n" );
document.write( "side of the line that (0,0) is on are also solutions. Since\r\n" );
document.write( "(0,0), the origin, is on the upper side of the line, that's\r\n" );
document.write( "the side we shade:\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" );
document.write( "![\"\"](\"/images/stars/stars-13.gif\")
