sam2304 wrote:Is |x| + |x-1| = 1 ?
1. x >= 0
2. x <= 1
[spoiler]No OA for this question. I came up with C. Is it right ?[/spoiler]
Stat. 1...
Set of x will be x = {0, 1, 2, 3,.....}; It will also include fractions/real nos. too.
A Can't be an answer as for x = 0 or 1, we get yes and for other values, we get NO.
Not Suff.
Stat. 2...
Set of x will be x = {.....-3, -2, -1, 0, 1}; It will also include fractions/real nos. too.
B Can't be an answer as for x = 0 or 1, we get yes and for other values, we get NO.
Not Suff.
Combining 2 statements.
Since from stat. 1, we get x = {
0, 1, 2, 3,.....} & from stat. 1, we get x = {.....-3, -2, -1,
0, 1}
So we need to check if x lies between 0 & 1, do we get the answer?
Lets try for some random values for x = 0, 1/3, 1/2, 9/10, 1... In each case, we get result as |x| + |x-1| = 1. Ans.
C.
Shalabh Jain,
e-GMAT Instructor
