The question reads as follows:
If the reciprocal of the negative integer X is greater than the sum of Y and Z, then which of the following must be true?
(A) X > Y + Z
(B) Y and Z are positive
© 1 > X(Y +Z)
(D) 1
(E) 1/X > Z- Y
I understand how to arrive at the correct answer (D) but am struggling to understand answer choice A. According to the solutions, answer choice A would only be true if X was equal to negative 1. However, I can't seem to figure out how to demonstrate this.
Can anyone provide an example or more thorough explanation?
Thanks!