Unformatted text preview: 7. Give a precise deﬁnition of “partition” of a set. 8. State the Well-Ordering Principle for the integers. 9. Use mathematical induction to show that 6 | n ( n 2 + 5) for all positive integers n . 10. Let A,B, and C be sets. Us an element argument to prove that A ∪ ( B ∩ C ) = ( A ∪ B ) ∩ ( A ∪ C ) . 11. Let A and B be sets. Construct an algebraic proof that A-( A ∩ B ) = ( A-B ) ....
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- Spring '08