document.write( "Question 116226This question is from textbook
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Algebra.Com's Answer #84522 by Edwin McCravy(20063) $\"\"$ $\"About$

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I don't know how to solve a conjucnction -2 < a + 3 < 8 and graph the solution. \r
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document.write( "The idea is to get the unknown alone in the middle for adding the same thing\r\n" );
document.write( "to ALL THREE sides, and sometimes multiplying ALL THREE SIDES by the same\r\n" );
document.write( "quantity. \r\n" );
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document.write( "                                -2 < a + 3 < 8\r\n" );
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document.write( "Add -3 to ALL THREE SIDES:\r\n" );
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document.write( "                                -2 < a + 3 < 8\r\n" );
document.write( "                                -3      -3  -3\r\n" );
document.write( "                               覧覧覧覧覧覧覧覧 \r\n" );
document.write( "                                -5 < a     < 5\r\n" );
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document.write( "So the solution is -5 < a < 5\r\n" );
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document.write( "Graphed on a number line it looks like this:\r\n" );
document.write( "-------n============================o------\r\n" );
document.write( "-7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7 \r\n" );
document.write( "  \r\n" );
document.write( "There is a closed circle \"n\"at -5 and an open circle \"o\"at +5.\r\n" );
document.write( "The reason is because -5 is included with the shaded part,\r\n" );
document.write( "but +5 is excluded.  That's because the -5 had the symbol\r\n" );
document.write( "\"<\" next to it whereas the +5 had the symbol \"<\" next\r\n" );
document.write( "to it.  \r\n" );
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document.write( "Interval notation is an abbreviation for the graph above, where\r\n" );
document.write( "a bracket denotes a closed circle and a parenthesis denotes an\r\n" );
document.write( "open circle, and the endpoints of the shaded interval are in\r\n" );
document.write( "between separated by a comma.  The above graph would be \r\n" );
document.write( "abbreviated with interval notation as\r\n" );
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document.write( " [-5, 5) \r\n" );
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document.write( "Edwin

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