document.write( "Question 251036: 3n + 11 < 17 or -3n > 12. Which is the best description of the solution set?
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Algebra.Com's Answer #182795 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
3n + 11 < 17 or -3n > 12. Which is the best description of the solution set?
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document.write( "3n + 11 < 17 or -3n > 12\r\n" );
document.write( "    -11  -11\r\n" );
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document.write( "3n      <  6 or -3n > 12\r\n" );
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document.write( "Write it without the space\r\n" );
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document.write( "3n < 6 or -3n > 12\r\n" );
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document.write( "Divide the left inequality through by 3\r\n" );
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document.write( "n < 2 or -3n > 12\r\n" );
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document.write( "Divide the right inequality through by -3, which reverses the inequality\r\n" );
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document.write( "n < 2 or n < -4\r\n" );
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document.write( "Place both inequalities on number lines\r\n" );
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document.write( "n < 2\r\n" );
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document.write( "<================================o--------\r\n" );
document.write( "-6  -5  -4  -3  -2  -1   0   1   2   3   4\r\n" );
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document.write( "n < -4\r\n" );
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document.write( "<========o--------------------------------\r\n" );
document.write( "-6  -5  -4  -3  -2  -1   0   1   2   3   4\r\n" );
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document.write( "Now since the word between the two inequalities is \"OR\"\r\n" );
document.write( "our final answer only has to be such that it will be true \r\n" );
document.write( "that if we pick any value in the shaded region of the\r\n" );
document.write( "graph of our final answer, then at least one of them must \r\n" );
document.write( "be true, and it is NOT NECESSARY that BOTH of them be true,\r\n" );
document.write( "so we only need to use the first one, \r\n" );
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document.write( "<================================o--------\r\n" );
document.write( "-6  -5  -4  -3  -2  -1   0   1   2   3   4\r\n" );
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document.write( "So the correct answer is the next to last one:\r\n" );
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document.write( " n < 2   \r\n" );
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document.write( "[Note that if the word between them had been \"AND\" instead of\r\n" );
document.write( "\"OR\" then the answer would have been n < -4, for we then would\r\n" );
document.write( "have had to made sure that BOTH inequalities were true for any\r\n" );
document.write( "value that was picked in the shaded region of the final answer,\r\n" );
document.write( "but since it is \"OR\" we only have to make sure that one, not both,\r\n" );
document.write( "of them is true.]\r\n" );
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document.write( "Edwin
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