Hint for Section 5.3 Question 3

3. Does every integer { ..., -2, -1, 0, 1, 2, ...} occur as an element of either A1 or A2?

If yes, then {A1, A2} is a partition of Z. If no, then think about what set you would have to add to A1 and A2 to get a partition of the integers.

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