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Question: i really need someone to solve and explain the last...

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I really need someone to solve and explain the last two questions. Thank you!

Exercise 1.5. Prove that if A and B are sets satisfying the property that then it must be the case that A - B. Exercise 1.6. Using definition (1.2.5) of the symmetric difference, prove that, for any sets A and B, AAB - (AUB)I(AnB). Exercise 1.7. Verify the second assertion of Theorem 1.3.4, that for any collection of sets {Asher Ai iET iET Exercise 1.8. Prove that, for any sets A and B, the set AUB can be written as a disjoint union in the form Exercise 1.9. Prove that, for any two finite sets A and B, This is a special case of the inclusion-exclusion principle Exercise 1.10. Prove for any set X and for any subsets A and B of X, the set A can be written as a disjoint union in the form A (A n B) U (A n B).

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