document.write( "Question 83525: Solve the inequality state the solution set in interval notation and sketch its graph
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Algebra.Com's Answer #60051 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Solve the inequality state the solution \r\n" );
document.write( "set in interval notation and sketch its graph\r\n" );
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document.write( "                \"-3%2F5\" < \"1%2F5\" - \"2%2F15\"w < \"-1%2F3\"\r\n" );
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document.write( "Clear of fractions by multiplying all terms on \r\n" );
document.write( "all three sides by the LCD of 15\r\n" );
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document.write( "         15\"%28-3%2F5%29\" < 15\"%281%2F5%29\" - 15\"%282%2F15%29\"w < 15\"%28-1%2F3%29\"\r\n" );
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document.write( "                  -9 < 3 - 2w < -5\r\n" );
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document.write( "Solve for w in the middle:  Add -3 to all three sides:\r\n" );
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document.write( "                  -9 < 3 - 2w < -5\r\n" );
document.write( "                  -3  -3        -3\r\n" );
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document.write( "                 -12 <    -2w < -8\r\n" );
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document.write( "Divide all three sides by the coefficient of w, which is -2.\r\n" );
document.write( "Remember that dividing through an inequality by a negative\r\n" );
document.write( "causes the inequality symbols to switch directions:\r\n" );
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document.write( "                 \"%28-12%29%2F%28-2%29\" > \"%28-2w%29%2F%28-2%29\" > \"%28-8%29%2F%28-2%29\"\r\n" );
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document.write( "or simplifying:\r\n" );
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document.write( "                            6 > w > 4   <-----solution\r\n" );
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document.write( "which is the same as\r\n" );
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document.write( "                            4 < w < 6   <-----solution\r\n" );
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document.write( "whose number line graph is\r\n" );
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document.write( "       -------------------o=====o---------------   <-----graph\r\n" );
document.write( "       -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 \r\n" );
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document.write( "The interval notation is an abbreviation for that graph:\r\n" );
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document.write( "                              (4, 6)   <-----solution in interval       \r\n" );
document.write( "                                                       notation\r\n" );
document.write( "Edwin
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