The question asks for the negation of the statement:

"All counting numbers are divisible by 1."

The original statement claims that every counting number is divisible by 1, which is true (since any counting number divided by 1 gives a whole number). The negation would be a statement that contradicts this idea.

To negate a universal statement like "All counting numbers are divisible by 1," the correct form would be:

"Some counting numbers are not divisible by 1."

Thus, the correct answer is:

• Some counting numbers are not divisible by 1.

This is the opposite of the original statement, where at least one counting number must fail to be divisible by 1.

Would you like further details on negating statements or any other clarifications?

Here are 5 questions that expand on this:

1. What does it mean for a number to be divisible by another?
2. How do we negate statements in general mathematical logic?
3. Why are all counting numbers divisible by 1?
4. Can we negate "some" statements, and how would that work?
5. What would the negation of "no counting numbers are divisible by 1" be?

Tip: When negating a universal statement (e.g., "All A are B"), the negation is an existential statement (e.g., "Some A are not B").