A Pew Research Center poll conducted in December 2016 found that 64% of adult Americans believe that fake news is causing confusion about basic facts of current issues and events. Suppose that the researchers are 99% confident that the result from the poll is off by fewer than 3.9 percentage points from the actual percentage x of adult Americans who feel this way. Express this situation as an inequality involving absolute value, then solve the inequality for x to determine the interval in which the actual percentage is likely to fall.