Let be defined so that a b exactly when ab is even is


Question: 1. Let ∼ be defined so that a ∼ b exactly when a+b is even. Is this an equivalence relation? If not, which of the three properties (reflexive, symmetric, transitive) does not hold?

2. Encrypt the message iron bars procrastinate rhymes with twin powers activate using the standard Vigen`ere cipher with key word silly.

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Mathematics: Let be defined so that a b exactly when ab is even is
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