document.write( "Question 262347: I am working in week eight of math 116. I am on problem 13 which the first part is a numberline graph. I was asked to choose the compound inequality, which I was able to do. However the second part of the question askes me to write the solution in interval notation. The problem is x<9 and x>=-6. Does anyone know how to do this problem? If so I really need some help.\r
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\n" ); document.write( "Deborah
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Algebra.Com's Answer #193280 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
I am working in week eight of math 116. I am on problem 13 which the first part is a numberline graph. I was asked to choose the compound inequality, which I was able to do. However the second part of the question askes me to write the solution in interval notation. The problem is x<9 and x>=-6. Does anyone know how to do this problem? If so I really need some help.
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document.write( "\"matrix%281%2C3%2Cx%3C9%2C+and%2C+x%3E=-6%29\"\r\n" );
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document.write( "Now \"x%3E=-6\" can be written as \"-6%3C=x\"\r\n" );
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document.write( "Now you have\r\n" );
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document.write( "\"matrix%281%2C3%2Cx%3C9%2C+and%2C+-6%3C=x%29\"\r\n" );
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document.write( "Reverse these:\r\n" );
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document.write( "\"matrix%281%2C3%2C-6%3C=x%2C+and%2C+x%3C9%29\"\r\n" );
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document.write( "Now you can write these together as a continued inequality\r\n" );
document.write( "like this:\r\n" );
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document.write( "\"-6%3C=x%3C9\"\r\n" );
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document.write( "That says x is between -6 and 9, INclusive of -6,\r\n" );
document.write( "but EXclusive of 9, so on a number line the graph is\r\n" );
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document.write( "-------@============================================o---------\r\n" );
document.write( "-8 -7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12\r\n" );
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document.write( "Notice that there is a closed circle at -6 and an open circle\r\n" );
document.write( "at 9.  The interval notation is an abbreviation of the above\r\n" );
document.write( "graph.  The left endpoint is -6 and the right endpoint is 9,\r\n" );
document.write( "so the interval notation is \r\n" );
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document.write( "         [-6,9)\r\n" );
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document.write( "The bracket \"[\" on the left next to the -6 indicates that the -6\r\n" );
document.write( "is included, the parentheses \")\" on the right indicates that the\r\n" );
document.write( "9 is NOT included. \r\n" );
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document.write( "Edwin
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