1. Define an integer n to be great if n² – 1 is a multiple of 3. Prove that for any integer N, if N is great then N +3 i
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1. Define an integer n to be great if n² – 1 is a multiple of 3. Prove that for any integer N, if N is great then N +3 is great.
8. Define a real number x to be an integer root if xk : = m for some m E Z and k € Z with k≥ 0. Prove that if x and y are both integer roots, then so is x. y.