document.write( "Question 1202784: Solve for x\r
\n" ); document.write( "\n" ); document.write( "| 2(x+1) + 4 | < 10 \n" ); document.write( "

Algebra.Com's Answer #837875 by ikleyn(52908) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x\r
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document.write( "Your starting inequality is\r\n" );
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document.write( "    | 2(x+1) + 4 | < 10.\r\n" );
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document.write( "It is equivalent to this compound inequality (which represents, actually, two inequalities at the same time)\r\n" );
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document.write( "    -10 < 2(x+1) + 4 < 10.\r\n" );
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document.write( "Subtract 4 from all three terms (left term, middle term and right term).  You will get\r\n" );
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document.write( "    -10 - 4 < 2(x+1) < 10 - 4\r\n" );
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document.write( "or, equivalently,\r\n" );
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document.write( "    -14 < 2(x+1) < 6.\r\n" );
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document.write( "Now divide all three terms by 2.  You will get\r\n" );
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document.write( "    -7 < x+1 < 3.\r\n" );
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document.write( "Last step is to subtract 1 from all three terms.  You will get\r\n" );
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document.write( "    -8 < x < 2,     which is your  ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The major lesson to learn from my post is that
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\n" ); document.write( "\n" ); document.write( "To see many other similar and different SOLVED problems on absolute value inequalities, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Solving absolute value inequalities \r
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