Consider the following premises. For all x_5, x_5 will write a letter. For all x_5, x_5 will not drive a car or x_5 is a scientist. For all x_5, x_5 will not write a letter or x_5 will drive a car. For all x_5, x_5 is not a sailor or x_5 will work. Can we infer the following from them? For all x_5, x_5 will work or x_5 is a scientist.
 From the fact that for all x_5, x_5 will write a letter we can infer that for all x_5, x_5 will write a letter or x_5 is a sailor. From the fact that for all x_5, x_5 will write a letter or x_5 is a sailor, and that for all x_5, x_5 will not write a letter or x_5 will drive a car we can infer that for all x_5, x_5 is a sailor or x_5 will drive a car. From the fact that for all x_5, x_5 is a sailor or x_5 will drive a car, and that for all x_5, x_5 is not a sailor or x_5 will work we can infer that for all x_5, x_5 will drive a car or x_5 will work. Finally, from the fact that for all x_5, x_5 will drive a car or x_5 will work, and that for all x_5, x_5 will not drive a car or x_5 is a scientist we can infer that for all x_5, x_5 will work or x_5 is a scientist. Therefore, the answer is yes.