document.write( "Question 160478This question is from textbook
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\n" ); document.write( "(x-11)(x-8) > 0
\n" ); document.write( "I got 8 < x > 11
\n" ); document.write( "but the answer was 8 > x > 11
\n" ); document.write( "I don't understand why \n" ); document.write( "

Algebra.Com's Answer #118362 by Edwin McCravy(20086) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x-11%29%28x-8%29+%3E+0\"$
\n" ); document.write( "I got $\"8+%3C+x+%3E+11\"$
\n" ); document.write( "but the answer was $\"8+%3E+x+%3E+11\"$
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document.write( "That's not correct.  Sometimes answers in books are wrong.\r\n" );
document.write( "But your answer is wrong too.  \"\" is NEVER written.\r\n" );
document.write( "In an inequality with more than two sides or parts, all the\r\n" );
document.write( "inequalities must be pointed the same way.  That is a rule\r\n" );
document.write( "which must be followed.  \r\n" );
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document.write( "The correct answer is\r\n" );
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document.write( "And that is the only way to write it, unless you use\r\n" );
document.write( "interval notation, which is\r\n" );
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document.write( "Graphed on a number line the solution is\r\n" );
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document.write( "-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13   \r\n" );
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document.write( "Do you want to know how to solve it correctly?\r\n" );
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document.write( "Here is how:\r\n" );
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document.write( "The left side becomes 0 if  or if .\r\n" );
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document.write( "Draw this number line:\r\n" );
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document.write( "<--------------------------------------------->\r\n" );
document.write( "-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13  \r\n" );
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document.write( "Draw open circles at 11 and 8\r\n" );
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document.write( "<------------------------------o--------o----->\r\n" );
document.write( "-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13 \r\n" );
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document.write( "Choose any value left of x=8, say x=0. Plug it in\r\n" );
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document.write( "That is true so shade the whole side left of 8\r\n" );
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document.write( "<==============================o--------o----->\r\n" );
document.write( "-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13\r\n" );
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document.write( "Choose any value right of x=8 that is also left of 11,\r\n" );
document.write( "say x=9. Plug it in\r\n" );
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document.write( "That is false so we DO NOT shade the part between\r\n" );
document.write( "8 and 11. So we still have:\r\n" );
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document.write( "<==============================o--------o----->\r\n" );
document.write( "-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13\r\n" );
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document.write( "Choose any value right of x=11, say x=12. Plug it in\r\n" );
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document.write( "That is true so shade the whole side right of 8\r\n" );
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document.write( "<==============================o--------o======>\r\n" );
document.write( "-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13\r\n" );
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document.write( "So to describe where a number x is located on that\r\n" );
document.write( "number line you say: \r\n" );
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document.write( "\"x is either less than 8 OR x is greater than 11\"\r\n" );
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document.write( "or in interval notation:\r\n" );
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document.write( "Edwin

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