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Mathematicians say that "Statement P is a sufficient condition for statement Q" if P → Q is true. In other words, in order to know that Q is true, it is sufficient to know that P is true. Let x be an integer. Give a sufficient condition on x for x/2 to be an even integer.

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sqdancefan

Answer:

  If x is a multiple of 4, then x/2 is even.

Step-by-step explanation:

An integer is even, if it is equal to 2n for some integer n. We want x/2 to be even, so ...

  x/2 = 2n

  x = 4n . . . . . multiply by 2

That is, x will be equal to 4n for some integer n. x is a multiple of 4.

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