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denpristay [2]
3 years ago
10

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

empty
A: 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.
Mathematics
1 answer:
scoundrel [369]3 years ago
7 0

Answer:

B

Step-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                                             Contrapositive

Megan’s office building is not empty- Megan’s office building is empty

It is past 5:00 p.m  - it is not past 5:00 p.m

And thus the contrapositive statement becomes

If Megan’s office building is empty, then it is not past 5:00 p.m.

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