document.write( "Question 83524: solve the inequality state the solution set in interval notation and sketch its graph
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Algebra.Com's Answer #60052 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "solve the inequality state the solution set in interval \r\n" );
document.write( "notation and sketch its graph \r\n" );
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document.write( "                              \"1%2F6\"\"1%2F3\"t > 0\r\n" );
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document.write( "Clear of fractions by multiplying every term by the LCD of 6:\r\n" );
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document.write( "                         6\"%281%2F6%29\" – 6\"%281%2F3%29\"t > 6(0)\r\n" );
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document.write( "                               1 - 2t > 0\r\n" );
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document.write( "Subtract 1 fro both sides:\r\n" );
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document.write( "                               1 - 2t >  0\r\n" );
document.write( "                              -1        -1  \r\n" );
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document.write( "                                  -2t > -1\r\n" );
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document.write( "Divide both sides by -2, remembering to switch the order of\r\n" );
document.write( "the inequality symbol because we are dividing by a negative\r\n" );
document.write( "number:\r\n" );
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document.write( "                            \"%28-2t%29%2F%28-2%29\" < \"%28-1%29%2F%28-2%29\"\r\n" );
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document.write( "                                  t < \"1%2F2\"\r\n" );
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document.write( "The number line graph is:\r\n" );
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document.write( "                     <===================o------------\r\n" );
document.write( "                      -2     -1      0   \"1%2F2\"   1       2\r\n" );
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document.write( "The interval notation is an abbreviation for the graph:\r\n" );
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document.write( "                              (\"-infinity\", \"1%2F2\") \r\n" );
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document.write( "Edwin
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