document.write( "Question 753715: What is the number line graph of |6-(2x-3)|>9 \n" ); document.write( "
Algebra.Com's Answer #802684 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "What is the number line graph of |6-(2x-3)|>9 \n" ); document.write( "~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The given inequality\r\n" ); document.write( "\r\n" ); document.write( " |6 - (2x-3)| > 9\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "is the same as\r\n" ); document.write( "\r\n" ); document.write( " |-2x + 9| > 9\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and is equivalent to\r\n" ); document.write( "\r\n" ); document.write( " |x - 4.5| > 4.5.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It describes the points x on number line that are remoted MORE THAN 4.5 units from the point 4.5.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The solution set (these points) are \r\n" ); document.write( "\r\n" ); document.write( " x < 0 or x > 9, ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "or, in the interval notation, the solution set is the union \r\n" ); document.write( "\r\n" ); document.write( " (-oo,0) U (9,oo). ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On solving absolute value inequalities, see my lesson\r \n" ); document.write( "\n" ); document.write( " - Solving absolute value inequalities \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Consider this lesson as your textbook, handbook, tutorials and (free of charge) home teacher. \n" ); document.write( "Read it attentively and learn how to solve this type of problems once and for all.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "//////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ignore the solution / (the response) from @CubeyThePenguin, since it is TOTALLY WRONG.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |