document.write( "Question 1148470: |2x-8|greater than or equal to 10\r
\n" );
document.write( "\n" );
document.write( "solve for X \n" );
document.write( "
Algebra.Com's Answer #769820 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "The given inequality describes those and only those real numbers x that\r\n" ); document.write( "\r\n" ); document.write( "2x is remoted from the number 8 on the number line not closer than 10 units.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, \r\n" ); document.write( "\r\n" ); document.write( " EITHER 2x >= 8 + 10 = 18, ----> x >= 18/2 = 9\r\n" ); document.write( "\r\n" ); document.write( " OR 2x <= 8 - 10 = - 2, ----> x <= -2/2 = -1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The solutions are x <= -1 or x >= 9.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You may get THE SAME ANSWER by writing the given absolute value equation in the form\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " -10 <= 2x-8 <= 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and solving this compound inequality.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See the lesson\r \n" ); document.write( "\n" ); document.write( " - Absolute Value equations\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |