document.write( "Question 943367: Write an absolute value inequality that has 3 and -5 as two of its solutions. \n" ); document.write( "
Algebra.Com's Answer #575153 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "This problem has many answers because inequalities\r\n" ); document.write( "have infinitely many solutions.\r\n" ); document.write( "\r\n" ); document.write( "The easiest one is \r\n" ); document.write( "\r\n" ); document.write( " |x| > 1\r\n" ); document.write( "\r\n" ); document.write( "which breaks into two inequalities:\r\n" ); document.write( "\r\n" ); document.write( "x > 1, -x > 1\r\n" ); document.write( "\r\n" ); document.write( "Solve the second one for x by dividing both sides by -1\r\n" ); document.write( "which will reverse the inequality:\r\n" ); document.write( "\r\n" ); document.write( "x > 1, x < -1\r\n" ); document.write( "\r\n" ); document.write( "That has solution\r\n" ); document.write( "\r\n" ); document.write( "<==================o-----o==================>\r\n" ); document.write( "-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7\r\n" ); document.write( "\r\n" ); document.write( "(-∞,-1)U(1,∞)\r\n" ); document.write( "\r\n" ); document.write( "which contains both 3 and -5 as two of its infinitely\r\n" ); document.write( "many solutions.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |