document.write( "Question 300000: Hi! I have a question with inequalities and x and y on the same side. Can you help? It says graph the inequality in a coordinate plane.
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Algebra.Com's Answer #215412 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"7x%2B6y%3C=-18\"$
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document.write( "Graph the boundary line which has the equation which\r\n" );
document.write( "is just like the inequality but has an equal sign\r\n" );
document.write( "where the inequality has a  sign.\r\n" );
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document.write( "Equation of boundary line: \r\n" );
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document.write( "Get some points on that line. I choose values of x that \r\n" );
document.write( "will divide evenly into 6 and 18, so that I get whole\r\n" );
document.write( "numbers but you can plot fractions in between the integers:\r\n" );
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document.write( " x |  y \r\n" );
document.write( "-6 |  4\r\n" );
document.write( " 0 | -3\r\n" );
document.write( " 6 |-10\r\n" );
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document.write( "Plot those points:\r\n" );
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document.write( "Draw the boundary line through them:\r\n" );
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document.write( "All of the points on one side of the green line represent solutions\r\n" );
document.write( "to the original inequality.  To find out which side they are all\r\n" );
document.write( "on, we pick any point on either side of the line, but NOT ON\r\n" );
document.write( "the line and test it in the original inequality.  Let's pick\r\n" );
document.write( "the origin (x,y) = (0,0) since it is easy and it is NOT ON the \r\n" );
document.write( "line.  \r\n" );
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document.write( "Substitute 0 for x and 0 for y\r\n" );
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document.write( "That is false.  Therefore the origin is on the side where the\r\n" );
document.write( "solutions are NOT on, so we shade the side of the green line\r\n" );
document.write( "which the origin is NOT on.  The origin is on the upper right\r\n" );
document.write( "side of the green line, so we will shade the lower left side\r\n" );
document.write( "of the green line.\r\n" );
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document.write( "I can't shade on here but you can on your paper.  \r\n" );
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document.write( "Edwin

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