K does NOT equal 0, 1, or -1, is 1/K > 0?
(1) 1/(K-1) > 0
(2) 1/(K+1) > 0
In (1) I see that in order for 1/(K-1) to be > 0, means that it is positive, therefore (K-1) must also be positive or > 0, so K>1, which means that 1/K will always be positive and >0. Therefore this is sufficient.
In (2) with the same thought process as in 1, (K+1) will need to be positive or >0, which means K>-1, however, any value between -1 and 0 will make 1/K negative since it is not specified that K must be an integer, therefore this is insufficient.
Is my thought process correct in this answer? Or is there a better way to looking at it?
(1) 1/(K-1) > 0
(2) 1/(K+1) > 0
In (1) I see that in order for 1/(K-1) to be > 0, means that it is positive, therefore (K-1) must also be positive or > 0, so K>1, which means that 1/K will always be positive and >0. Therefore this is sufficient.
In (2) with the same thought process as in 1, (K+1) will need to be positive or >0, which means K>-1, however, any value between -1 and 0 will make 1/K negative since it is not specified that K must be an integer, therefore this is insufficient.
Is my thought process correct in this answer? Or is there a better way to looking at it?
