a for a given integer n if n 2 is


A) For a given integer n, if n   2 is divisible by 4, then n2   4 is divisible by 16. State the hypothesis of this sentence and the conclusion. Give a direct proof of the statement.

(b) Use the law of contrapositive to show that for any given integers a and b, if ab is odd then either a is odd or b is odd. Describe the hypothesis of this statement and the conclusion

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Engineering Mathematics: a for a given integer n if n 2 is
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