Which statements negate the given statement? (There may be more than one. Find them all.) Somebody failed the quiz. Everybody passed the quiz. Nobody failed the quiz. Nomebody passed the quiz. Everybody failed the quiz.

To negate the statement "Somebody failed the quiz," we need to express the opposite of that statement. The original statement implies that at least one person did not pass the quiz. The negation of "Somebody failed the quiz" is "Nobody failed the quiz," which means that everyone passed the quiz. Let's analyze the options: 1. **Everybody passed the quiz.** - This is a valid negation because if everybody passed, then nobody could have failed. 2. **Nobody failed the quiz.** - This is also a valid negation for the same reason as above. 3. **Somebody passed the quiz.** - This is not a direct negation of the original statement. 4. **Nobody passed the quiz.** - This does not negate the original statement; it contradicts it. 5. **Everybody failed the quiz.** - This also does not negate the original statement; it contradicts it. Thus, the valid negations of the statement "Somebody failed the quiz" are: - **Nobody failed the quiz.** - **Everybody passed the quiz.** These two statements effectively negate the original statement.