document.write( "Question 68944: please help:\r
\n" ); document.write( "\n" ); document.write( "|-x + 3| < 5 \n" ); document.write( "
Algebra.Com's Answer #49109 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
please help: \r\n" );
document.write( "|-x + 3| < 5\r\n" );
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document.write( "Learn rules for removing absolute values from\r\n" );
document.write( "inequalities of these forms:\r\n" );
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document.write( "Rule 1:\r\n" );
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document.write( "|EXPRESSION| < N      (where N is not negative)\r\n" );
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document.write( "Write as \r\n" );
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document.write( "-N < EXPRESSION < N\r\n" );
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document.write( "then solve. [If N is negative, there is no solution,\r\n" );
document.write( "and solution set = Ø)\r\n" );
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document.write( "Rule 2:\r\n" );
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document.write( "|EXPRESSION| > N     (where N is not negative\r\n" );
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document.write( "Write as \r\n" );
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document.write( "EXPRESSION < -N OR EXPRESSION > N\r\n" );
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document.write( "then solve.  (If N is negative, solution set is \r\n" );
document.write( "\"all real numbers\".)\r\n" );
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document.write( "You need Rule 1.  I gave you Rule 2 also because you\r\n" );
document.write( "will need it for other problems:\r\n" );
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document.write( "|-x + 3| < 5\r\n" );
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document.write( "EXPRESSION = -x + 3\r\n" );
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document.write( "-5 < -x + 3 < 5\r\n" );
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document.write( "Add -3 to all three sides:\r\n" );
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document.write( "-5 < -x + 3 < 5\r\n" );
document.write( "-3       -3  -3\r\n" );
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document.write( "-8 < -x     < 2\r\n" );
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document.write( "Divide all three parts by -1\r\n" );
document.write( "which reverses the inequality\r\n" );
document.write( "symbols:\r\n" );
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document.write( "   8 > x > 2\r\n" );
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document.write( "This can also be written as\r\n" );
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document.write( "   2 < x < 8\r\n" );
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document.write( "Solution in interval notation is (2, 8)\r\n" );
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document.write( "Edwin

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