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Let S = {x ∈ Z : −60 ≤ x ≤ 59}. (a) Which integers are...

Let S = {x ∈ Z : −60 ≤ x ≤ 59}.

(a) Which integers are both in S and 6Z?

(b) Which integers in S have 1 as the remainder when divided by 6?

(c) Which integers in S are also in −1 + 6Z?

(d) Which integers satisfy n ≡ 3 mod 6?

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