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Final answer:The number 8/9 is an element of therational numbersand thereal numbers sets, but not the integers set.Explanation:The number 8/9 is an element of the following sets:Rational numbers:The set of rational numbers includes all numbers that can be expressed as a fraction or a ratio of two integers. Since 8/9 can be expressed as a fraction, it is a rational number.Real numbers:The set of real numbers includes all rational and irrational numbers. Since 8/9 is a rational number, it is also a real number.Integers:The set of integers includes all whole numbers and their opposites. Since 8/9 is not a whole number, it is not an element of the set of integers.Learn more about number here:brainly.com/question/32905769#SPJ2...