Translate in English. Consider domain as a real number for both variables.

Let be the statement " loves " where the domain for both and consists of all people in the world. Use quantifiers to express "Joy is loved by no one".

The statement   is logically equivalent to which of the statements below?

Select the pairs that are equivalent:

The proposition is

Let denotes the statements "It is raining", "it is cold", and "It is pleasant", respectively. Then the statement "It is not raining, and it is pleasant, and it is not pleasant only if it is raining and it is cold" is represented by