hw1 questions

On the set n n where n is the set of positive natural

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Unformatted text preview: = ∅. d. Prove that the pair of simultaneous equations in part c has a solution iff B ⊆ Ac , moreover, that any X with B ⊆ X ⊆ Ac is such a solution. e. Finally, apply this to find necessary and sufficient conditions that the equation X ∪ C = D has a solution. 2. Two questions playing with equivalence relations: a....
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