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3. Are the following statements true or false? Justify your conclusions. (a) For each integer a, if 3 does not

divide a, then 3 divides 2a2 +1. (b) For each integer a, if 3 divides 2a2+1, then 3 does not divide a. (c) For each integer a, 3 does not divide a if and only if 3 divides 2a2+1.

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