document.write( "Question 263390: please help me solve this equation :\r
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Algebra.Com's Answer #803545 by ikleyn(52798) $\"\"$ $\"About$

You can put this solution on YOUR website!
please help me solve this equation :\r
\n" ); document.write( "\n" ); document.write( " $\"+x%2F2\"$ > $\"5%2F%28x%2B4%29\"$ + $\"4\"$
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\n" ); document.write( "\n" ); document.write( " The \"solutions\" from both @CubeyThePenguin and @josgaritmetic are WRONG.\r
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\n" ); document.write( "\n" ); document.write( " Below I brought the correct solution.\r
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document.write( "Rewrite it equivalently in this form\r\n" );
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document.write( "     -  - 4 > 0\r\n" );
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document.write( "     -  - 8 > 0\r\n" );
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document.write( "     -  -  > 0    <<<--- now we have common denominator (x+4)\r\n" );
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document.write( "     > 0\r\n" );
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document.write( "     > 0\r\n" );
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document.write( "     > 0\r\n" );
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document.write( "The quadratic polynomial in the numerator has the roots\r\n" );
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document.write( "     =  =  = .\r\n" );
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document.write( "So, the numerator has the roots   =  = -4.782  and   =  = 8.782.\r\n" );
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document.write( "There are three critical points on the number line,  \r\n" );
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document.write( "     =  = -4.782,  -4  and   =  = 8.782.\r\n" );
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document.write( "They divide the number line in 4 intervals, from left to right\r\n" );
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document.write( "    (,),  (,),  (,)  and  ,).\r\n" );
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document.write( "The solution set for the given inequality is the union of the second and the fourth intervals.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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