document.write( "Question 55620: 9x-2x>14-9(-x-4) \n" ); document.write( "

Algebra.Com's Answer #37744 by Edwin McCravy(20054) $\"\"$ $\"About$

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9x - 2x > 14 - 9(-x - 4)\r\n" );
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document.write( "Solve it exactly as you would an equation, that is,\r\n" );
document.write( "if the \" < \" had been an \" = \", until you get to \r\n" );
document.write( "the last step:\r\n" );
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document.write( "9x - 2x > 14 - 9(-x - 4)\r\n" );
document.write( "     7x > 14 + 9x + 36\r\n" );
document.write( "     7x > 50 + 9x\r\n" );
document.write( "    -2x > 50\r\n" );
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document.write( "Now at this last step where you divide both sides by the\r\n" );
document.write( "coefficient -2, there are two rules you must remember\r\n" );
document.write( "that you don't have to remember when solving equations.\r\n" );
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document.write( "1.  If you divide both sides by a POSITIVE number, LEAVE\r\n" );
document.write( "    the symbol of inequality as it is.\r\n" );
document.write( "2.  If you divide both sides by a NEGATIVE number, REVERSE\r\n" );
document.write( "    the symbol of inequality.\r\n" );
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document.write( "In this case we divide both sides by a NEGATIVE number,\r\n" );
document.write( "namely -2.  Therefore we must use rule 2 and REVERSE the\r\n" );
document.write( "symbol > to <.\r\n" );
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document.write( "    -2x       50\r\n" );
document.write( "   -----  <  ----\r\n" );
document.write( "     -2       -2\r\n" );
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document.write( "        x < -25\r\n" );
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document.write( "The graph of that looks like this\r\n" );
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document.write( " <========o----------   \r\n" );
document.write( "         -25  \r\n" );
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document.write( "In interval notation this is abbreviated to \r\n" );
document.write( "(-infinity, -25)\r\n" );
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document.write( "Edwin

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