Unformatted text preview: For every real number x there is a natural number n such that x < n . 2. (8 pts.) Prove that for all natural numbers a , b , and c , if a divides b and a divides c then a divides b + c . 3. (8 pts.) Prove by contrapositive that for all natural numbers n , if n 2 is even then n is even. 4. (8 pts.) Prove by contradiction that for all natural numbers n , n n + 1 > n n + 2 . 5. (8 pts.) Prove that for any sets A , B , and C , if A ⊆ B ∪ C and A ∩ B = ∅ then A ⊆ C ....
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This note was uploaded on 03/05/2011 for the course MATH 290 taught by Professor Alligood,k during the Fall '08 term at George Mason.
 Fall '08
 Alligood,K
 Math, Advanced Math

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