document.write( "Question 328718: graph inequality 2x<3y+6 \n" ); document.write( "

Algebra.Com's Answer #235489 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Plot the graph of the equation formed by replacing the < by =\r\n" );
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document.write( "Get some points:\r\n" );
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document.write( " x |  y\r\n" );
document.write( " 0 | -2\r\n" );
document.write( " 3 |  0\r\n" );
document.write( " 6 |  2\r\n" );
document.write( "-3 | -4\r\n" );
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document.write( "Draw the line dotted since the inequality is < and not <\r\n" );
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document.write( "One side of that dotted line will be shaded, because all the solutions are on\r\n" );
document.write( "one side of that line and none are on the other side.\r\n" );
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document.write( "Choose a test point which is not on that line, substitute it in original\r\n" );
document.write( "inequality to find out whether it is a solution or not.  If it is a solution,\r\n" );
document.write( "then shade the side the test point is on. (That's because if one point on that\r\n" );
document.write( "side is a solution then they all are.)  If it is not a solution, then shade\r\n" );
document.write( "the other side of the line.\r\n" );
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document.write( "Let's arbitrarily choose (0,0,) as a test point.  Substitute x=0 and y=0 in\r\n" );
document.write( "the original inequality:\r\n" );
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document.write( "That is true so the test point (0,0) is a solution, so we shade\r\n" );
document.write( "the side of the line which the point (0,0) is on.  I can't shade on\r\n" );
document.write( "here, but you can on your paper.  Shade the whole upper (left) side \r\n" );
document.write( "of the dotted line.  (The line was dotted to show that none of the\r\n" );
document.write( "solutions lie on the line itself.)\r\n" );
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document.write( "Edwin

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