A student club holds a meeting. The predicate M(x) denotes whether person x came to the meeting on time. The predicate O(x) refers to whether person x is an officer of the club. The predicate D(x) indicates whether person x has paid his or her club dues. The domain is the set of all members of the club. Give a logical expression that is equivalent to each English statement. (d) Everyone paid their dues or came on time to the meeting. (e) At least one person paid their dues and came on time to the meeting. (f) There is an officer who did not come on time for the meeting.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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A student club holds a meeting. The predicate M(x) denotes whether person x came to the meeting on time. The predicate O(x) refers to whether person x is an officer of the club. The predicate D(x) indicates whether person x has paid his or her club dues. The domain is the set of all members of the club. Give a logical expression that is equivalent to each English statement.

(d)

Everyone paid their dues or came on time to the meeting.

(e)

At least one person paid their dues and came on time to the meeting.

(f)

There is an officer who did not come on time for the meeting.

 

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