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A. n-1

B. n+1

C. 2n

D. 3n+1

E. 4n+1

Explanation:

If n is an odd integer, both one more and one less than n will be even integers, eliminating choices (A)

and

(B). Any even multiple of n will be an even integer, eliminating choice (C). However, 4n is even,

making 4n

+1 an odd integer. The answer to this problem is (E). Note that 3n + 1 is even if n is odd and it is odd if

n is

even. Since the question asks, "Which of the following MUST be an odd integer," (D) cannot be the

correct answer.

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