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## Answers

4k - 1 is an integer.

4k is an even integer, becase k is an integer, and it is a multiple of 2: 4k = 2(2k).

being a multiple of 2 is the condition for an integer to become even.

Thus, 4k-1 is an odd integer because subtracting 1 from an even integr makes it an odd one because it will no longer be a multiple of 2