4. (16) The domain for A(x) and O(x) is the set of all students in Math 271; and A(x): x applied for a scholarship. O(x): x got an A in Math 271. First translate the following arguments from English to logical expressions and then use the rules of inference to determine whether it is valid. Every student who applied for a scholarship got an A in Math 271. Peter is a student in Math 271. Peter did not apply for a scholarship. Peter did not get an A in Math 271