Question

1. which of the following answer choices shows the negation of the statement below?

statement: frank has a sister.

frank has a sister or a brother.

frank does not have a sister.

frank has a brother.

frank does not have any siblings.

Explanation:

The negation of a statement "Frank has a sister" should directly contradict the original statement. The original statement claims Frank has a sister, so its negation is that Frank does not have a sister. The option "Frank has a sister or a brother" is a disjunction that doesn't negate the original. "Frank has a brother" is about a brother, not negating the sister claim. "Frank does not have any siblings" is a stronger claim (negating all siblings) but the original only claims about a sister, so the negation is just about not having a sister.

Answer:

B. Frank does not have a sister.