proof and logic 1

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8.94 – If n is a positive integer and s is an irrational number, then n/s is an irrational number.

8.98 – For every positive integer n,2^2n ≥ 4n!.

8.99 – If A, B and C are sets, then (A – B) ∪ (A -C) = A – (B ∪C).

8.100 – Let n ∈ N.If (n + 1)(n + 4) is odd, then (n + 1)(n + 4) + 3^n is odd.

8.103 – If n is a nonnegative integer, then 5 divides 2 · 4^n + 3 · 9^n.

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