document.write( "Question 657131: Solve -17 < x < 12 or 12 ≤ x < 24 \n" ); document.write( "
Algebra.Com's Answer #409783 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "-17 < x < 12 or 12 ≤ x < 24\r\n" ); document.write( "\r\n" ); document.write( "Make the number line graph of -17 < x < 12 \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "-----o=====================o---------o-----\r\n" ); document.write( " -17 12 24\r\n" ); document.write( "\r\n" ); 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" ); document.write( "\r\n" ); document.write( "-----o---------------------⚫=========o-----\r\n" ); document.write( " -17 12 24 \r\n" ); document.write( "\r\n" ); document.write( "Place them one above the other:\r\n" ); document.write( "\r\n" ); document.write( "-----o=====================o---------o-----\r\n" ); document.write( " -17 12 24\r\n" ); document.write( "-----o---------------------⚫=========o-----\r\n" ); document.write( " -17 12 24\r\n" ); document.write( "\r\n" ); document.write( "Since the word between the inequalities is \"OR\",\r\n" ); document.write( "We must make a single number line of what points\r\n" ); document.write( "are shaded on on one OR the other number line.\r\n" ); document.write( "\r\n" ); document.write( "As you can see all the points are shaded either on \r\n" ); document.write( "the first number line OR are shaded on the \r\n" ); document.write( "second number line, so the solution set is defined\r\n" ); document.write( "by this number line:\r\n" ); document.write( "\r\n" ); document.write( "-----o===============================o-----\r\n" ); document.write( " -17 12 24\r\n" ); document.write( "\r\n" ); document.write( "And in interval notation that is (-17,24)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |