\(|x| > |y|?\)
\((1) x - y > 0\)
This means \(x>y\), lets check some values:
\(x = 5\) & \(y = 4, 5 - 4 = 1\), when substituted in the equation \(|x| > |y|\) we get equation is TRUE
\(x = 5\) & \(y = -6, 5 - (-6) = 11\) when substituted in the equation \(|x| > |y|\) we get equation is FALSE
As we are getting two different values
=====> Eq. (1) is NOT SUFFICIENT\((2) y > 0\)
This does not tell us anything about x
=====> Eq. (2) is NOT SUFFICIENTCombining (1) & (2)
We know y will always be positive (As \(y > 0\)), and \(x - y > 0\)
Which means x will always be greater than y which satisfies the equation
Hence, Answer is C
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