Question

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

statement: frank has a sister.
frank has a brother.
frank does not have a sister.
frank has a sister or a brother.
frank does not have any siblings.

Explanation:

To find the negation of a statement, we need to reverse its truth value. The original statement is "Frank has a sister." The negation should be the opposite, meaning Frank does not have a sister. The other options either introduce a different sibling (brother), a disjunction (sister or brother), or a more extreme claim (no siblings at all), which are not the direct negation of the given statement.

Answer:

B. Frank does not have a sister.