is the set of positive intgers the same as the set of nonegative integers? Explain?

not quite,

the set of "non-negative integers would include zero" whereas the set of positive integers does not include zero.

No, the set of positive integers is not the same as the set of non-negative integers.

The set of positive integers includes all whole numbers that are greater than zero, such as 1, 2, 3, 4, and so on.

On the other hand, the set of non-negative integers includes all whole numbers that are greater than or equal to zero, such as 0, 1, 2, 3, and so on.

To explain the difference further, here's how you can determine whether two sets are the same or different:

1. Definition: Start by understanding the definitions of the two sets. In this case, the positive integers consist of numbers greater than zero, while non-negative integers include zero and all positive integers.

2. Compare the elements: Compare the elements of both sets. You'll notice that the set of non-negative integers includes zero, which is not included in the set of positive integers. Therefore, the two sets are actually different.

3. Visualize: Visualize the set of positive integers on a number line. You will only see positive numbers on the right side of zero. Now visualize the set of non-negative integers, which includes zero and all positive numbers. Notice that the set of non-negative integers extends to include zero on the number line, which is not part of the set of positive integers.

Therefore, due to the inclusion of zero, the set of non-negative integers is broader than the set of positive integers, making them different sets.