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Data Sufficiency (DS) | If x and y are both positive, is x greater than 4?

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Bunuel wrote:

If x and y are both positive, is x greater than 4?

(1) x > y
(2) In the coordinate plane, the point (x, y) lies outside a circle of radius 5 centered at the origin.

Kudos for a correct solution.


Given: x > 0, y > 0
x > 4?

Statement 1:
x > y
This statement is insufficient to prove whether x > 4 because there are innumerable pairs of positive numbers where x > y and x < 4 such as (2, 1) and also x > y and x > 4 such as (5, 3), etc.

Statement 2:
Given: the point
...

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