Question

1. what is the negation of the statement \all humans are able to swim\? all creatures that are able to swim are humans. a some humans like to swim. b no humans are able to swim. c some humans are not able to swim. d

Explanation:

To find the negation of "All humans are able to swim", we recall that the negation of a universal statement (all \( x \) have property \( P \)) is an existential statement (some \( x \) do not have property \( P \)).

• Option A: This is a different statement about creatures that can swim, not a negation.
• Option B: Talks about liking to swim, not being able to swim, so irrelevant.
• Option C: This is the negation of "Some humans are able to swim", not the original statement.
• Option D: "Some humans are not able to swim" is the correct negation of "All humans are able to swim" as it follows the rule for negating universal statements.

Answer:

D. Some humans are not able to swim.