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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

  1. 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.

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.

I will go shopping only if {it is Wednesday and I will not go to a movie}.

{I will go shopping and not go to a movie} is a sufficient condition for it to be Wednesday.

{I will go shopping and not go to a movie} is a necessary condition for it to be Wednesday.

I'm having a lot hard time to solve this problem and proof equivalence, either or converse? Thank you for your help.

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