hi guys, spend too much time on the problem, it will be great to look at other`s thinking
If x^2 > y^2, is x>y?
1) x > |y|
2) |x| > y
oa is A
If x^2 > y^2, is x>y?
1) x > |y|
2) |x| > y
oa is A
x^2 > y^2 implies |x| > |y|clock60 wrote:If x^2 > y^2, is x>y?
1) x > |y|
2) |x| > y
Statement 1: x > |y|
Implies x is greater than a positive quantity |y|. Hence x is positive. Now if y is negative, x is certainly greater than y. If y is positive, then also x greater than y as x > |y|.
Sufficient.
Statement 2: |x| > y
In this case however there is no such direct relation.
For example,
- 1. x = -5, y = 2 => |x| > y BUT x < y
2. x = 5, y = 2 => |x| > y AND x > y
The correct answer is A.
