If y

[gmat25]

If y is an integer and y = x + |x|, is y = 0?

1). x < 0
2). y < 1

[Frankenstein]

Hi,
|x| = x if x>=0
|x| = -x if x<=0
So, y = x+x =2x, if x>=0
and y = x-x =0, if x<=0
minimum value of y is zero.
From(1):
x<0, so y=0
Sufficient
From(2):
y < 1
y is an integer and its minimum value is zero
So, y=0
Sufficient

Hence, D

[Anurag@Gurome]

If y is an integer and y = x + |x|, is y = 0?

1). x < 0
2). y < 1

If x ≥ 0, y = x + |x| = x + x = 2x ≥ 0
If x < 0, y = x + |x| = x - x = 0

Hence, y ≥ 0

Statement 1: As x < 0, y = 0 ---> Sufficient

Statement 2: As y < 1 and y ≥ 0, y = 0 ---> Sufficient

The correct answer is D.