Question: Consider the statement For any non-empty sets C and F with F C C, then C- F = CAF To show equality of these sets,

Consider the statement For any non-empty sets C and F with F C C, then C- F = CAF To show equality of these sets, one must show set containment both ways. First, order 5 of the following sentences so that they form a logical proof of the statement: C- FCCOF Choose from these sentences. You can assume all sets are nonempty. Your Proof (showing containment left to right first): Assume r e On F. but r / C - F DECAF Let r E OnF By definition, r E C and & # F Hence, I E C and r ( F* Assume Jy E F but y & C TEOnO'Or DEFOF C - F = CAF Let c E C - F Assume the dog ate my homework. C- FCONF

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