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Part $1$

Determine$$ which, if$$ any, of the three given statements are equivalent. Use information about a conditional$$ statement's converse,$$ inverse, or$$ contrapositive, De$$ Morgan's laws, the fact that p right arrow q double left right arrow $$~p logical or $$q$,$ or truth tables.

a$.$ Today is not Sunday or the library is open.

b$.$ If today is Sunday$,$ then the library is not open.

c$.$ If the library is open$,$ then today is not Sunday.