when x is nonzero integer the sum 0f 3+x is sometimes negative and sometimes positive. Identify a value of x for which the sum of 3+x is negative.

To identify a value of x for which the sum of 3+x is negative, we can consider the cases where x is a negative integer. This is because when we add a negative integer to 3, the result will be negative.

For example, if we take x = -5, the sum of 3+x is 3 + (-5) = -2, which is negative. Similarly, if we take x = -10, the sum would be 3 + (-10) = -7, also negative.

For any negative value of x, the sum of 3+x will be negative. Therefore, x = -5 or any other negative integer would be a valid answer.