Data Sufficiency

If zyx does not = 0, is x(y+z)>=0?
1. |y+z|=|y|+|z|
2. |x+y|=|x|+|y|

I hate absolute value....
Thanks

1. interpreted means that y and z have the same signs, only then their abs values will add up. Not sufficient because we don't know the sign of x.

2. interpeted means that x and y have the same signs. Not sufficient because we don't know the sign and magnitude of z.

1+2. together mean that x and y and z all have the same sign so x(y+z)>0. Sufficient.