Product of Three Integers

Question

If $abc > 0$, such that $a,b,c$ are integers then which of the following must be true?

Accepted Answer

B. Since $abc > 0$, either all three are positive, or two are negative and one is positive. Multiply numerator and denominator of $\frac{ab}{c}$ by $c$ to get $\frac{abc}{c^2}$. Since $abc > 0$ and $c^2 > 0$, $\frac{ab}{c} > 0$ must always be true. Hence, Option B is correct.

Answer

$\frac{a}{b} < 0$

Answer

$\frac{ab}{c} > 0$

Answer

$bc < 0$

Answer

$a > bc$

Product of Three Integers

Explanation

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