If X-Y > 10, is x-y > x+y?
Statement 1: x=8
Plug 8 into the first equation:
8-Y > 10
In order for 8-Y to be greater then 10, Y must be a negative number.
Plug 8 and (-Y) into the second equation:
8 - (-Y) > 8 + (-Y), this becomes:
8+Y > 8-Y
[spoiler]From this we can see that 8+Y is greater the 8-Y
Sufficient[/spoiler]
Statement 2: y= -20
Plug -20 into first equation:
x-(-20)>10
X+20>10
X-(-20) > X+(-20), which becomes:
X+20 > X-20
[spoiler]From this we can see that for any value of X, X+20 will be greater then X-20
Sufficient.
Both Sufficient, Choose D[/spoiler]
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DS Question
Source: Beat The GMAT — Problem Solving |
This question is much easier if you simplify the question before you attack the statements.
x-y>x+y --> -y>y
The question becomes is -y>y, which is only possible if y is negative. So the real question becomes "Is y<0?"
Makes it easier to assess the statements.
x-y>x+y --> -y>y
The question becomes is -y>y, which is only possible if y is negative. So the real question becomes "Is y<0?"
Makes it easier to assess the statements.
