Select the negation of each statement shown below. "Some movies are not too long." Some movies are too long. No movies are too long. All movies are too long. "All dogs are beagles." Some dogs are not beagles. No dogs are beagles. Some dogs are beagles. "No planets are habitable." Some planets are not habitable. All planets are habitable. Some planets are habitable. "It never rains in southern California." It sometimes rains in southern California. It always rains in southern California.

To find the negation of each statement, we need to identify what would make the original statement false. Here are the negations for each statement:<br /><br />1. **Original Statement:** "Some movies are not too long."<br /> - **Negation:** All movies are too long.<br /> - Explanation: The negation of "some" is "none," so if it's not true that some movies are not too long, then all movies must be too long.<br /><br />2. **Original Statement:** "All dogs are beagles."<br /> - **Negation:** Some dogs are not beagles.<br /> - Explanation: The negation of "all" is "some...not," meaning if not all dogs are beagles, then there must be at least one dog that is not a beagle.<br /><br />3. **Original Statement:** "No planets are habitable."<br /> - **Negation:** Some planets are habitable.<br /> - Explanation: The negation of "no" is "some," so if it's not true that no planets are habitable, then there must be at least one planet that is habitable.<br /><br />4. **Original Statement:** "It never rains in southern California."<br /> - **Negation:** It sometimes rains in southern California.<br /> - Explanation: The negation of "never" is "sometimes," indicating that if it is not true that it never rains, then it must rain at least occasionally.<br /><br />These negations reflect the logical opposite of each original statement.