Final answer:
Using logical reasoning, we deduce that since Sally updated her resume and was not late for her interview, she must have gotten the job, based on the original conditional statement given.
Step-by-step explanation:
The problem presented involves logical reasoning, a subject often encountered in mathematics courses, specifically under the branch of logical argumentation. We are given a conditional statement and asked to determine its correctness based on certain premises. The original statement was: "If Sally did not get the job, then she was late for her interview or did not update her resume." We are also provided with information that Sally did update her resume and was not late for her interview.
According to propositional logic, if the antecedent (Sally did not get the job) is false, then the entire conditional statement is true regardless of the truth value of the consequent (being late for the interview or not updating her resume). Since it is stated that Sally met both the requirements of not being late and updating her resume, the only logical conclusion is that Sally did get the job, assuming the initial conditional statement is true.