If x and y are integers and x^2*y is a negative odd integer, which of

We are given that x and y are integers and that x^2*y is a negative odd integer. First, recall that odd x odd = odd. This means that x is odd, that x^2 is odd, and that y is odd.Second, we see that since x^2 is positive, then y must be negative, in order for the product x^2*y to be negative. With these facts in mind, we can now analyze each Roman numeral.

I. xy^2 is odd

Since both x and y must be odd, xy^2 is odd. Roman numeral I must be true.

II. xy is negative.

We determined that y must be negative, but we don’t have information about whether x is positive or negative. Roman numeral II does not have to be true.

III. x + y is even.

Recall that odd + odd = even. Since both x and y must be odd, we know that x + y must be even. Roman numeral III must be true.

Answer: D