Consider the following premises. For all x_10, if x_10 listens to a song, then x_10 is rich. If Jessica were rich, then Patricia is a sailor. If Patricia were a sailor, then Jessica is listening to a song. Can we infer the following from them? If is not true that Jessica is rich if and only if Patricia is a sailor.
 From the fact that for all x_10, if x_10 listens to a song, then x_10 is rich we can infer that if Jessica listens to a song, then Jessica is rich. From the fact that if Patricia were a sailor, then Jessica is listening to a song, and that if Jessica listens to a song, then Jessica is rich we can infer that if Patricia were a sailor, then Jessica is rich. Finally, from the fact that if Jessica were rich, then Patricia is a sailor, and that if Patricia were a sailor, then Jessica is rich we can infer that Jessica is rich if and only if Patricia is a sailor, which contradicts that If is not true that Jessica is rich if and only if Patricia is a sailor. Therefore, the answer is no.