Is x less than y?
(1) x-y+1<0
(2) x-y-1<0
Answ: E
I thought A.
Statement 1
x-y<-1
so x <y-1
doesn't this make x < y?
Thanks!
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DS - Is x less than y?
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rogue_rohit
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E
(1) x<y-1 - Insufficient by itself
(2) x<y+1 - Insufficient by itself
Taken together:
y-1<x<y+1
Now pick numbers: assume x=3 and y=3.5 which satisfies both statements. One gets x<y
Now assume x=-3 and y=-3.5 which satisfies both statements. One gets x>3.5
Thus, answer is E.
(1) x<y-1 - Insufficient by itself
(2) x<y+1 - Insufficient by itself
Taken together:
y-1<x<y+1
Now pick numbers: assume x=3 and y=3.5 which satisfies both statements. One gets x<y
Now assume x=-3 and y=-3.5 which satisfies both statements. One gets x>3.5
Thus, answer is E.
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jeffxujian
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- GMAT Score:740
IMO A
1. y>x+1 assuming the following possibs:
x x+1 y>x+1 X<Y?
-1 0 1 Y
2 3 4 Y
-5 -4 -3 Y
-1/2 1/2 0 Y
So sufficient
2. Y>X-1
X X-1 Y>x-1 x<Y?
1 0 1/2 N
3 2 4 Y
so insufficient
Please correct me if there is mistake
1. y>x+1 assuming the following possibs:
x x+1 y>x+1 X<Y?
-1 0 1 Y
2 3 4 Y
-5 -4 -3 Y
-1/2 1/2 0 Y
So sufficient
2. Y>X-1
X X-1 Y>x-1 x<Y?
1 0 1/2 N
3 2 4 Y
so insufficient
Please correct me if there is mistake
Ans is E
1. x<y-1
say x is 5.5 and y is 6. Insufficient
2. x<y+1
say x is 5.5 and y is 5. Insufficient
Together you can tell that statement 1 will always hold true. Which we have shown is insufficient.
1. x<y-1
say x is 5.5 and y is 6. Insufficient
2. x<y+1
say x is 5.5 and y is 5. Insufficient
Together you can tell that statement 1 will always hold true. Which we have shown is insufficient.
