Is |x|=y-z
.Is |x| = y – z?
I. x + y = z
II. x < 0
My Ques: the question asks whether x>=0, and the first equation implies x<0, so isnt equation 1 sufficient? because we get a definite answer NO.
also x<0 in second eq. which is again sufficient.
Where am i going wrong?
Hi Riya,
How does the question ask us if x >=0? You have analyzed the question in a wrong way.
The question is ‘Is |x| = y – z’. The question can be rephrased as ‘Is y – z >=0’
Statement 1 : x + y = z ——-> -x = y – z. Here x can take any value, positive, negative or zero. Gives us a YES and a NO. insufficient.
Statement 2 : x < 0 : We have no information about y and z. Insufficient.
Combined : If x < 0 and – x = y – z then y – z will be 0 positive. Sufficient.
