Consider the following premises. If Jessica reads a book, then it is not raining. Joseph is driving a car or it is raining. Joseph is not driving a car. Can we infer the following from them? If we can, name the inference rule being used: Jessica is not reading a book.
 From the fact that Joseph is driving a car or it is raining, and that Joseph is not driving a car we can infer that it is raining via disjunctive syllogism. Finally, from the fact that if Jessica reads a book, then it is not raining, and that it is raining we can infer that Jessica is not reading a book via modus tollens. Therefore, the answer is yes.