document.write( "Question 657100: Solve -17 < x < 12 and 12 < x < 24 \n" ); document.write( "
Algebra.Com's Answer #409782 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "-17 < x < 12 and 12 < x < 24\r\n" );
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document.write( "Make the number line graph of -17 < x < 12 \r\n" );
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document.write( "-----o=====================o---------o-----\r\n" );
document.write( "   -17                    12        24\r\n" );
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document.write( "Make the graph of 12 < x < 24 on another number line\r\n" );
document.write( "using the same scale as the first:\r\n" );
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document.write( "-----o---------------------o=========o-----\r\n" );
document.write( "   -17                    12        24 \r\n" );
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document.write( "Place them one above the other:\r\n" );
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document.write( "-----o=====================o---------o-----\r\n" );
document.write( "   -17                    12        24\r\n" );
document.write( "-----o---------------------o=========o-----\r\n" );
document.write( "   -17                    12        24\r\n" );
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document.write( "Since the word between the inequalities is \"AND\",\r\n" );
document.write( "We must make a single number line of what points\r\n" );
document.write( "are shaded on on BOTH number lines.\r\n" );
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document.write( "But as you can see there is no interval that is\r\n" );
document.write( "shaded on the first number line AND shaded on the \r\n" );
document.write( "second number line, so the solution set is the empty\r\n" );
document.write( "set which is written ∅.\r\n" );
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document.write( "Edwin

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