Final answer:
The interval notation for the set of integers greater than 5 and less than 15 is (6, 14), representing integers 6 through 14.
Step-by-step explanation:
The set of integers greater than 5 and less than 15 in interval notation is (6, 14).When expressing sets in interval notation, we use parentheses to denote that the endpoints are not included in the set. Since we are dealing with integers only, and the question specifies numbers greater than 5 and less than 15, we start at 6 and go up to, but not including, 15. Hence, the interval notation for this set is (6, 14). This indicates all integers beginning just after 5 and continuing up to, but excluding, 15.
Remember that interval notation generally includes all numbers between the specified bounds, but in the context of integers, it is understood that these are the integers in that range.The set of numbers in interval notation that consists of all integers greater than 5 and less than 15 can be written as (6, 15).Explanation: In interval notation, parentheses indicate that the endpoints are not included in the set. Therefore, the interval starts from the next integer greater than 5, which is 6, and goes up to, but does not include, 15.