1. Use a direct proof to prove the following statement: If n is an even integer,...

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1. Use a direct proof to prove the following statement: If n is an even integer, then n2 - 2n +9 is an odd integer. 2. Use an indirect proof to prove the following statement: Let n be an integer. If 2n +n+5 is odd, then n is even. 3. Prove the following statement: Let n be an integer. Then n2 + 6n - 2 is odd if and only if n is odd. 4. Prove the following statement using an indirect proof: Let a, b be positive real numbers. If a + 6 <149, then a < 7 or b< 10. 1. Use a direct proof to prove the following statement: If n is an even integer, then n2 - 2n +9 is an odd integer. 2. Use an indirect proof to prove the following statement: Let n be an integer. If 2n +n+5 is odd, then n is even. 3. Prove the following statement: Let n be an integer. Then n2 + 6n - 2 is odd if and only if n is odd. 4. Prove the following statement using an indirect proof: Let a, b be positive real numbers. If a + 6 <149, then a < 7 or b< 10.

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1 Since n is even let n 2k where k is some integer n 2 2n 9 2k 2 2 2k 9 n 2 2n 9 4k 2 4k 9 n 2 2n 9 ... View the full answer