Consider the following premises. Sarah is not driving a car. For all x_5, x_5 will drive a car or x_5 will not work. For all x_5, if x_5 drives a car, then x_5 is working. Can we infer the following from them? Sarah is not working.
 From the fact that for all x_5, x_5 will drive a car or x_5 will not work we can infer that for all x_5, if x_5 works, then x_5 is driving a car. From the fact that for all x_5, if x_5 drives a car, then x_5 is working, and that for all x_5, if x_5 works, then x_5 is driving a car we can infer that for all x_5, x_5 will drive a car if and only if x_5 will work. From the fact that for all x_5, x_5 will drive a car if and only if x_5 will work we can infer that Sarah is driving a car if and only if Sarah is working. Finally, from the fact that Sarah is driving a car if and only if Sarah is working, and that Sarah is not driving a car we can infer that Sarah is not working. Therefore, the answer is yes.