document.write( "Question 463978: I need to know whether the inequality |3x-6y|< or equal to 9, lies in, out, or both in and out, of a box whose coordinates are [(1,1), (2,1), (2,2,), and (1,2)].
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Algebra.Com's Answer #318528 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "|3x-6y| ≦ 9\r\n" );
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document.write( "Factor out 3\r\n" );
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document.write( "3|x-2y| ≦ 9\r\n" );
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document.write( "Divde both sides by 3\r\n" );
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document.write( "|x-2y| ≦ 3\r\n" );
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document.write( "First we get the boundary graph:\r\n" );
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document.write( "|x-2y| = 3\r\n" );
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document.write( "x-2y = 3  and x-2y = -3\r\n" );
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document.write( "We graph those two lines\r\n" );
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document.write( "Now we use the origin (0,0) as a test point:\r\n" );
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document.write( "|x-2y| ≦ 3\r\n" );
document.write( "|0-0y| ≦ 3\r\n" );
document.write( "     0 ≦ 3\r\n" );
document.write( "That's true so the region that should be shaded is\r\n" );
document.write( "the strip between the two lines, and including\r\n" );
document.write( "the two lines as well.\r\n" );
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document.write( "Now we'll draw the box with the corners:\r\n" );
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document.write( "(1,1), (2,1), (2,2,), and (1,2)\r\n" );
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document.write( "The strip between the two parallel lines contains all of the\r\n" );
document.write( "box, and a whole lot more too.  So the answer is \"both in and out\".\r\n" );
document.write( "[The upper left corner of the box (1,2) is on the boundary, but the\r\n" );
document.write( "inequality includes its bondary.]\r\n" );
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document.write( "Edwin
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