MathDB

Suppose that \frac {2x}{3} \minus{} \frac {x}{6} is an integer. Which of the following statements must be true about

x

<span class='latex-bold'>(A)</span>\ \text{It is negative.} \qquad <span class='latex-bold'>(B)</span>\ \text{It is even, but not necessarily a multiple of }3\text{.}

<span class='latex-bold'>(C)</span>\ \text{It is a multiple of }3\text{, but not necessarily even.}

<span class='latex-bold'>(D)</span>\ \text{It is a multiple of }6\text{, but not necessarily a multiple of }12\text{.}

<span class='latex-bold'>(E)</span>\ \text{It is a multiple of }12\text{.}

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