Analyze the logical form of the following statement. Let W represent "it is Wednesday," let S represent "I will go shopping," and let M represent "I will go to a movie." a. If it is Wednesday, then {I will go shopping and I will not go to a movie}. Now analyze the following statements. Also, for each statement, determine whether the statement is equivalent to either statement a or its converse. b. I will go shopping only if {it is Wednesday and I will not go to a movie}. C. { will go shopping and not go to a movie} is a sufficient condition for it to be

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4. Analyze the logical form of the following statement. Let W represent "it is Wednesday.
let S represent "I will go shopping," and let M represent "I will go to a movie."
77
17
a. If it is Wednesday, then {I will go shopping and I will not go to a movie}.
Now analyze the following statements. Also, for each statement, determine whether the
statement is equivalent to either statement a or its converse.
b. I will go shopping only if {it is Wednesday and I will not go to a movie}.
C. will go shopping and not go to a movie} is a sufficient condition for it to be
Wednesday.
d. {I will go shopping and not go to a movie} is a necessary condition for it to be
Wednesday.
Transcribed Image Text:4. Analyze the logical form of the following statement. Let W represent "it is Wednesday. let S represent "I will go shopping," and let M represent "I will go to a movie." 77 17 a. If it is Wednesday, then {I will go shopping and I will not go to a movie}. Now analyze the following statements. Also, for each statement, determine whether the statement is equivalent to either statement a or its converse. b. I will go shopping only if {it is Wednesday and I will not go to a movie}. C. will go shopping and not go to a movie} is a sufficient condition for it to be Wednesday. d. {I will go shopping and not go to a movie} is a necessary condition for it to be Wednesday.
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