Final answer:
The set of integers greater than or equal to sixteen is an infinite set, so there are an infinite number of integers in set h.The correct answer is that the set h contains an infinite number of integers. None of the options is correct.
Step-by-step explanation:
The question asks to determine how many integers are there in set h, where h is the set of integers greater than or equal to sixteen.
The set of all integers greater than or equal to sixteen is infinite. Therefore, there are an infinite number of integers in set h. None of the options provided (a. 16, b. 15, c. 14, d. 17) accurately represents the count of integers in set h.
To determine the number of integers in the set h, which is defined as the set of integers greater than or equal to sixteen, we must understand the nature of the set of all integers.
The set of integers is infinite. It includes all whole numbers, both positive and negative, without end. When we are considering the set of all integers greater than or equal to a particular integer—in this case, sixteen—we are essentially looking at all the numbers starting from sixteen and increasing without limit: 16, 17, 18, 19, and so on up towards infinity. Given that there is no largest integer, the set of integers greater than or equal to sixteen does not have a final element. It keeps going on forever.
Therefore, the number of elements in the set h cannot be counted and is not finite. Hence, the number of integers in the set h cannot be expressed as any of the given options (a, b, c, or d), as all of these suggest a finite number of integers. The correct answer is that the set h contains an infinite number of integers. None of the options is correct.