Question: For X = Z , put a ~ b IFF a + b is divisible by 3 . Note Z means integer. What does the

For X = Z , put a ~ b IFF a + b is divisible by 3.
Note Z means integer.
What does the use of the word put here mean exactly? Please advise how should it be interpreted in layperson's language.
In determining if this is an equivalence relation what part should be looked at first & why: a ~ b or the condition a + b is divisible by 3.

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