Problema Solution

a poll found that a particular group of people read an average of 11.4 books per year. The pollster are 99% confident that the result from this poll is off by fewer than 3.95 books from the actual average x. Express this situation as an inequality involving absolute value and saolve the inequality for x to determine the interval in which the average is likely to fall

Express the situation as an inequality involving absolute value

solve for x

the solution set is {xI }

Answer provided by our tutors

|x - 11.4| <= 3.95


by solving the inequality for x we find


7.45 <= x <= 15.35


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the solution set is {xI 7.45 <= x <= 15.35 }.