document.write( "Question 82003: How do I demonstrate an algebraic equation on a \"number line\"? For example, how do I show X<6 on a \"number line\"? \n" ); document.write( "
Algebra.Com's Answer #58748 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! How do I demonstrate an algebraic equation on a \"number line\"? For example, how do I show X<6 on a \"number line\"? \n" ); document.write( " \r\n" ); document.write( "First draw a number line like this:\r\n" ); document.write( "\r\n" ); document.write( "---------------------------------------------------\r\n" ); document.write( " -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 \r\n" ); document.write( "\r\n" ); document.write( "Since it's \" < \", we put an OPEN circle at 6\r\n" ); document.write( "\r\n" ); document.write( "--------------------------------------o------------\r\n" ); document.write( " -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10\r\n" ); document.write( "\r\n" ); document.write( "(If it were \" < \", we'd put a closed circle)\r\n" ); document.write( "\r\n" ); document.write( "Now since it's LESS THAN, we darken the number line\r\n" ); document.write( "to the LEFT of 6 and put an arrowhead on the far left\r\n" ); document.write( "end to show that it continues indefinitely to the\r\n" ); document.write( "left.\r\n" ); document.write( "\r\n" ); document.write( "<=====================================o------------\r\n" ); document.write( " -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10\r\n" ); document.write( "\r\n" ); document.write( "That's the graph of x < 6.\r\n" ); document.write( "\r\n" ); document.write( "Another example:\r\n" ); document.write( "\r\n" ); document.write( "To draw the graph of x > -3\r\n" ); document.write( "put a closed circle at -3 like this:\r\n" ); document.write( "\r\n" ); document.write( "-----------=---------------------------------------\r\n" ); document.write( " -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 \r\n" ); document.write( "\r\n" ); document.write( "It's a closed circle because the inequality\r\n" ); document.write( "symbol is >\r\n" ); document.write( "\r\n" ); document.write( "Then since it's GREATER THAN, we darken the number line\r\n" ); document.write( "to the RIGHT of -3 and put an arrowhead on the far right\r\n" ); document.write( "end to show that it continues indefinitely to the\r\n" ); document.write( "right.\r\n" ); document.write( "\r\n" ); document.write( "-----------========================================>\r\n" ); document.write( " -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10\r\n" ); document.write( "\r\n" ); document.write( "That's the graph of x > -3\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |