HEre is a question i couldnt tackle. Can you help!?
Yes / No Question:
If x + y +z > 0 , Is Z >1?
1.) z > x +y+1
2.) x + y +1 <0
Correct answer is B but how?
question for data sufficiency!
This topic has expert replies
x + y +z > 0
Or, z > - (x + y) ... (a)
1) z > x +y+1 ... (b)
Add equation (a) & (b) i.e. 2z > 1 Or, z > 1/2
NOT SUFFICIENT
2) x + y +1 < 0
Or, -(x + y) > 1 ... (c)
Add equation (a) & (c)
z - (x + y) > - (x + y) + 1
Or, Z > 1
SUFFICIENT
Answer b
Or, z > - (x + y) ... (a)
1) z > x +y+1 ... (b)
Add equation (a) & (b) i.e. 2z > 1 Or, z > 1/2
NOT SUFFICIENT
2) x + y +1 < 0
Or, -(x + y) > 1 ... (c)
Add equation (a) & (c)
z - (x + y) > - (x + y) + 1
Or, Z > 1
SUFFICIENT
Answer b