document.write( "Question 1094125: im having a problem on how to solve this one. i've tried to do it several times but i think whats confusing me is the negative in front of the absoulte value. if you could help me with this one problem id really appericate it
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\n" ); document.write( "* the / infront of 2p+4 means absolute value \n" ); document.write( "

Algebra.Com's Answer #708733 by ikleyn(52835) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "-11 <= 5 - |2p+4|  ====>\r\n" );
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document.write( "|2p+4| <= 5 + 11  ====>\r\n" );
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document.write( "|2p+4| <= 16  ====>  (divide both side by 2. You will get an equivalent inequality)  ====>  \r\n" );
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document.write( "|p+2| <= 8  ====>\r\n" );
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document.write( "The solution set are those p in a number line that are remoted not farther than 8 units from -2.\r\n" );
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document.write( "So, the solution set is  -2 -8 <= p <= -2 +8,   or, which is the same,\r\n" );
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document.write( "-10 <= p <= 6.\r\n" );
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document.write( "Answer.  The solution set is the segment [-10,6].\r\n" );
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\n" ); document.write( "\n" ); document.write( "When you got the inequality of the type |p+2| <= 8, it is not necessary to continue analytic solution.\r
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\n" ); document.write( "\n" ); document.write( "You can get the answer quicker if you KNOW what the absolute value means GEOMETRICALLY.\r
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