document.write( "Question 1090643: Translate the statement \"five plus the quantity of seven minus a number is between one and five\" \n" ); document.write( "
Algebra.Com's Answer #705093 by Edwin McCravy(20056)\"\" \"About 
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document.write( "To say that any expression is between a lower number L and \r\n" );
document.write( "a higher number H is written\r\n" );
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document.write( "      L < expression < H\r\n" );
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document.write( "\"five plus the quantity of (seven minus a number)\"\r\n" );
document.write( "   ↓    ↓                     ↓     ↓       ↓\r\n" );
document.write( "   5    +                  (  7     -       N )    \r\n" );
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document.write( "The translated expression is 5+(7-N)\r\n" );
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document.write( "Since it is between 1 and 5, we write\r\n" );
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document.write( "      1 < 5+(7-N) < 5     <-- this was all you asked for.\r\n" );
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document.write( "To solve it simplify by removing the parentheses:\r\n" );
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document.write( "       1 < 5+7-N < 5\r\n" );
document.write( "        1 < 12-N < 5\r\n" );
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document.write( "Add -12 to all three sides:\r\n" );
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document.write( "        1 < 12-N <  5\r\n" );
document.write( "      -12  -12    -12 \r\n" );
document.write( "      ---------------\r\n" );
document.write( "      -11 <   -N < -7\r\n" );
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document.write( "We divide all three sides by -1 which\r\n" );
document.write( "reverses the inequalitiy signs\r\n" );
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document.write( "        11 > N > 7\r\n" );
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document.write( "That a case of \"LARGE > MEDIUM > SMALL\"\r\n" );
document.write( "which can be written \"SMALL < MEDIUM < LARGE\"\r\n" );
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document.write( "         7 < N < 11\r\n" );
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document.write( "Edwin

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