document.write( "Question 154406: Express set of numbers using interval notation and set-builder notation:
\n" ); document.write( "numbers more than 2 units from 8\r
\n" ); document.write( "\n" ); document.write( "we were coming up with:
\n" ); document.write( "x|610; but my daughter says her teacher said the >< symbols should be going in the same direction?? \n" ); document.write( "

Algebra.Com's Answer #114764 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!
Express set of numbers using interval notation and set-builder notation:
\n" ); document.write( "numbers more than 2 units from 8
\n" ); document.write( "we were coming up with:
\n" ); document.write( "x|610; but my daughter says her teacher said the >< symbols should be going in the same direction??
\n" ); document.write( "

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document.write( "In order to be more than 2 units away from 8, a number must\r\n" );
document.write( "be either left of 6 OR right of 10.  So the graph is\r\n" );
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document.write( "<============================o-----------o==================>\r\n" );
document.write( " -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15\r\n" );
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document.write( "In interval notation that is \r\n" );
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document.write( "(-,6) U (10,)\r\n" );
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document.write( "and the set builder notation is:\r\n" );
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document.write( "{x | x < 6 OR x > 10}\r\n" );
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document.write( "But since your teacher says the symbols must go in\r\n" );
document.write( "the same direction, then we can do either of two\r\n" );
document.write( "things. We can change the \r\n" );
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document.write( "x < 6\r\n" );
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document.write( "to \r\n" );
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document.write( "6 > x, which is the same thing,\r\n" );
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document.write( "and make it \r\n" );
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document.write( "{x | 6 > x OR x > 10}\r\n" );
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document.write( "or else we can change the \r\n" );
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document.write( "x > 10\r\n" );
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document.write( "to \r\n" );
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document.write( "10 < x, which is the same thing,\r\n" );
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document.write( "and make it \r\n" );
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document.write( "{x | x < 6 OR 10 < x}\r\n" );
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document.write( "But most teachers would not require\r\n" );
document.write( "both symbols to go the same way.\r\n" );
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document.write( "Edwin

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