Question

what is a negation of the following statement?
\all fashion models wear jeans.\
\all fashion models may not own jeans.\
\some fashion models wear leans.\
\some fashion models do not wear jeans.\

o fashion models wear jeans.\

Explanation:

The original statement is a universal affirmative ("All fashion models wear jeans"). The negation of a universal affirmative statement (∀x, P(x)) is an existential negative (∃x, ¬P(x)), which means "There exists some fashion models who do not wear jeans" or "Some fashion models do not wear jeans". Let's analyze the options:

• "All fashion models may not own jeans." is about owning jeans, not wearing, and the wording is also incorrect for negation.
• "Some fashion models wear leans." has a typo (should be "jeans"?) and also does not negate the original statement.
• "Some fashion models do not wear jeans." correctly negates the universal statement as an existential negative.
• "No fashion models wear jeans." is a universal negative, which is not the negation of the original universal affirmative (the negation of "all" is "some not", not "none").

Answer:

C. "Some fashion models do not wear jeans."