Question: 4. Proofs [11-5+6 points] Write your answers below and label them (a) and b (a) Prove by contradiction that: For all integers n, n2-2 is

4. Proofs [11-5+6 points] Write your answers below and label them

4. Proofs [11-5+6 points] Write your answers below and label them (a) and b (a) Prove by contradiction that: For all integers n, n2-2 is not divisible by 4. Hint: Consider the factor 2 (b) Prove directly that: Vn E Z, if n is odd thenn2/ (n2 3)/4

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