Use De Morgan's laws to write a statement that is equivalent to the following statement. If he does not stay awake, his brother or sister does. Choose the correct answer below. O A. If his brother does not stay awake and his sister does not stay awake, then he does. O B. If his brother does not stay awake or his sister does not stay awake, then he does. OC. If he does stay awake, then his brother and his sister stay awake. O D. If his brother does not stay awake and his sister does not stay awake, then he does not stay awake.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 16CT: Let P represent any statement. Classify as true or false. a P and P b P or P
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Use De Morgan's laws to write a statement that is equivalent to the following statement.
If he does not stay awake, his brother or sister does.
Choose the correct answer below.
O A. If his brother does not stay awake and his sister does not stay awake, then he does.
O B. If his brother does not stay awake or his sister does not stay awake, then he does.
OC. If he does stay awake, then his brother and his sister stay awake.
O D. If his brother does not stay awake and his sister does not stay awake, then he does not stay awake.
MacBook Air
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Transcribed Image Text:Use De Morgan's laws to write a statement that is equivalent to the following statement. If he does not stay awake, his brother or sister does. Choose the correct answer below. O A. If his brother does not stay awake and his sister does not stay awake, then he does. O B. If his brother does not stay awake or his sister does not stay awake, then he does. OC. If he does stay awake, then his brother and his sister stay awake. O D. If his brother does not stay awake and his sister does not stay awake, then he does not stay awake. MacBook Air esc F?
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