Consider the following premises. There is at least one x_11 for which x_11 will listen to a song. For all x_11, x_11 will drive a car. For all x_11, x_11 will write a letter. Can we infer the following from them? For all x_11, either x_11 will drive a car or x_11 will write a letter are not true.
 From the fact that for all x_11, x_11 will write a letter, and that there is at least one x_11 for which x_11 will listen to a song we can infer that there is at least one x_11 for which x_11 will write a letter and x_11 will listen to a song. From the fact that there is at least one x_11 for which x_11 will write a letter and x_11 will listen to a song we can infer that there is at least one x_11 for which x_11 will write a letter. Finally, from the fact that for all x_11, x_11 will drive a car, and that there is at least one x_11 for which x_11 will write a letter we can infer that there is at least one x_11 for which x_11 will drive a car and x_11 will write a letter, which contradicts that For all x_11, either x_11 will drive a car or x_11 will write a letter are not true. Therefore, the answer is no.