document.write( "Question 1040325: If |x-5|<4, which of the following is a possible value of X? \n" ); document.write( "
Algebra.Com's Answer #655129 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Rule: if |x| < k then -k < x < k where k is some positive number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For instance, if |x| < 5 then -5 < x < 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use that rule to go from |x-5| < 4 to -4 < x-5 < 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's add 5 to all sides of -4 < x-5 < 4 to get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4 < x-5 < 4 \n" ); document.write( "-4+5 < x-5+5 < 4+5 \n" ); document.write( "1 < x + 0 < 9 \n" ); document.write( "1 < x < 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you can pick any number between 1 and 9 for x. You cannot pick 1. You cannot pick 9. \n" ); document.write( " |