Given that p and q each represents a simple statement, write the indicated symbolic statement in words. 4) p: The fan is working. - p ^q a) The fan is not working it and only if the bedroom is stuffy. b) The fan is not working and the bedroom is stuffy. c) If the bedroom is stuffy, then the fan is not working. d) The fan is not working or the bedroom is stuffy. q: The bedroom is stuffy. following statements: 4)

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 1CT
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Given that \( p \) and \( q \) each represent a simple statement, write the indicated symbolic statement in words.

4) \( p \): The fan is working, \\
   \( q \): The bedroom is stuffy. \\
   \(- p \land q\)

a) The fan is not working if and only if the bedroom is stuffy.

b) The fan is not working and the bedroom is stuffy.

c) If the bedroom is stuffy, then the fan is not working.

d) The fan is not working or the bedroom is stuffy.
Transcribed Image Text:Given that \( p \) and \( q \) each represent a simple statement, write the indicated symbolic statement in words. 4) \( p \): The fan is working, \\ \( q \): The bedroom is stuffy. \\ \(- p \land q\) a) The fan is not working if and only if the bedroom is stuffy. b) The fan is not working and the bedroom is stuffy. c) If the bedroom is stuffy, then the fan is not working. d) The fan is not working or the bedroom is stuffy.
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