What kind of syllogism is illustrated in the following set of statements? "Each speech will earn a passing or failing grade. Juan’s speech did not earn a failing grade. Therefore, Juan’s speech earned a passing grade."

Disjunctive Syllogism

Explanation:

This type of syllogism posits that if one option is true, then the other option is false.

If A is true, then B is false (A or B).

From the statements given, it is said that one speech will have to be a passing or failing grade. Going further, Juan's speech did not earn a failing grade, which means his speech earned a passing grade. Therefore, the set of statements illustrates disjunctive syllogism.