Analyze the statement below and complete the instructions that follow. If a month is June, then it has 30 days. Write the contrapositive of the statement above. A. If a month is not June, then the month has 30 days. B. If a month does not have 30 days, then the month is June. C. If a month is June, then the month does not have 30 days. D. If a month does not have 30 days, then the month is not June.

Question

Mathematics

Patricia Garrison

24 March, 06:14

Analyze the statement below and complete the instructions that follow. If a month is June, then it has 30 days. Write the contrapositive of the statement above. A. If a month is not June, then the month has 30 days. B. If a month does not have 30 days, then the month is June. C. If a month is June, then the month does not have 30 days. D. If a month does not have 30 days, then the month is not June.

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Answers (1)

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Mike Baxter · Answer 1

Note first that several months have 30 days (each) : April, June and September.

(A) could not be correct, since the month in question could have 28, 29 or 31 days.

(B) See (A), above. If the month in question does not have 30 days, then the month could NOT be April, June or September. Reject (B).

(C) You do this one, similarly to my responses to (A) and (B), above.

(D) This one is true, since we know that June has 30 days. If the month in question does NOT have 30 days, then that month could not possibly be June.