This is a problem from one of the practice tests. It is a data sufficiency question.
If K is not equal to 0, 1, or -1 is 1/K > 0?
1. 1 / k-1 > 0
2. 1 / k+1 > 0
The answer is A but I think it is D, both are sufficent, because in choice 1, K has to be a positive number. For example, If K is -2, then that would not satisfy > 0. The same thing goes for choice 2, where K has to be a positive number in order to satisfy > 0. Knowing that K is positive is information sufficient enough to satisfy 1/k >0.
How come the answer is A then?! Does B by itself not tell you that K has to be positive?