1. Prove If x and y are integers and x=y (mod 3), then x=y (mod 3)...

 

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1. Prove "If x and y are integers and x=y (mod 3), then x²=y² (mod 3)" 2. Prove "If a=b (mod n) then ac=bc (mod n)" (you may assume that a, b, n, and c are integers with n>0) 3. Prove, given sets A, B, that (AB)'= A'B' 1. Prove "If x and y are integers and x=y (mod 3), then x²=y² (mod 3)" 2. Prove "If a=b (mod n) then ac=bc (mod n)" (you may assume that a, b, n, and c are integers with n>0) 3. Prove, given sets A, B, that (AB)'= A'B'

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1 Explanation We are given that x equiv y bmod 3 which means that x and y have the same remainder wh... View the full answer