Solution

The correct answer is Every student dislike hockey

Key Points

• The original statement, "Some students like hockey," is an example of a quantified statement in logic.
• The quantifier "Some" refers to the existence of at least one student who likes hockey. In symbolic logic, this statement can be represented as ∃ (there exists) student (S) such that they like hockey (H).
• Now, when we negate this statement, we are essentially saying that it is not true that there exists a student who likes hockey.
• In symbolic logic, the negation would be ¬∃S(H), which is equivalent to ∀S(¬H), where ∀ denotes "for all" or "every."
• So, the negation "Every student dislikes hockey" is expressing that for every student, it is not the case that they like hockey.