Final answer:
A disjunction that includes a contradiction is not always false; it depends on the other disjunct. If the other disjunct is true, then the disjunction is also true.
Step-by-step explanation:
The student's question asks if a disjunction that includes a contradiction as one of its disjuncts is always false. The answer is B. False. A disjunction is a logical statement that is true if at least one of its disjuncts is true. Since a contradiction is a statement that is always false, the truth value of the disjunction depends on the other disjunct. If the other disjunct is true, then the disjunction is true despite having a contradiction as one of its components. Therefore, a disjunction with a contradiction as one of its disjuncts is not always false.