Which of the following is the contrapositive of the following statement: If it is past 5:00 p.m., Megan’s office building is not emptyA: If Megan’s office building is empty, then it is past 5:00 pm.B: If Megan’s office building is empty, then it is not past 5:00 p.m.C: If Megan’s office building is empty, then it is past 5:00 p.m.D: If it is not past 5:00 p.m. Megan’s office building is empty.

Answer:BStep-by-step explanation:A contrapositive statement is one that switches the hypothesis and conclusion of a conditional statement and negates both. In our hypothesis,"If it is past 5:00 p.m., Megan’s office building is not empty", we shall break it into two statements and show the contarpositive of each like shown below.Hypothesis                                             ContrapositiveMegan’s office building is not empty- Megan’s office building is emptyIt is past 5:00 p.m  - it is not past 5:00 p.mAnd thus the contrapositive statement becomesIf Megan’s office building is empty, then it is not past 5:00 p.m.