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 N 1 Is A Multiple Of 3 Prove That For Any Integer N If N Is Great Then N 3 I 1 (18.38 KiB) Viewed 36 times

please be clear with your proofs, use complete sentences ifpossible. Thank you!
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.