Question

The product of three integers is positive. how many of the integers can be negative?responses

Answer 1

The product of three integers is positive. A maximum of two integers can be negative for the product to remain positive, as a negative multiplied by a negative yields a positive result.

Step-by-step explanation:

When multiplying integers, the product of the numbers will depend on their signs. According to multiplication rules:

• The product of two positive numbers is positive.
• The product of two negative numbers is also positive.
• However, the product of numbers with opposite signs is negative.

For the product of three integers to be positive, we have two possible scenarios:

1. All three numbers are positive.
2. One of the numbers is positive and the other two are negative (since a negative times a negative gives a positive result).

Therefore, a maximum of two integers can be negative for the product to remain positive.