Question

The product of three integers is positive. How many of the integers can be negative? Explain.

Answer 1

Step 1: If the product of three integers is negative then only two integers can be negative as product of two negative integers is positive.

Step 2: Example:

$$\begin{gathered} \left(2\right)\times (-3)\times (-5) \\ =2\times (-3\times -5) \\ =2\times 15 \\ =30 \end{gathered}$$

Final Answer: If the product of three integers is negative then only two integers can be negative as product of two negative integers is positive.