Answer: A, B and D.
Step-by-step explanation:
We have two numbers, x and y.
And we know that:
x + y is a negative number.
Then it can happen if:
1) x and y are negative numbers.
remember that when we add two negative numbers, for example -2 and -3 we have:
-2 + (-3) = -5
The sum of two negative numbers is always negative.
2) we have a positive and a negative number, but the absolute value of the negative number is larger than the absolute value of the positive.
For example, if we have -5 and 3.
The positive number is 3 and the negative is -5
and I-5I > I3I
Then when we add those:
-5 + 3 = -2
The result is also a negative number.
Then the correct options are:
A. Both numbers are negative.
B. x is negative, and |x| > |y|. (here says that the negative number is larger in absolute value than the other)
D. y is negative, and |x| < |y|. (this is similar as above, but in this case the negative number is y)
