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# If x and y are integers, is x positive? (1) x = |y| (2) x! = |x|

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If x and y are integers, is x positive? (1) x = |y| (2) x! = |x| [#permalink]
If x and y are integers, is x positive?

(1) x = |y|

For any negative or positive number X will be always be positive.........the answer is Yes

However, if y and x equal to 0, then X is not positve............................the answer is NO.

P.S. ZERO is Integer but neither positive nor negative.

Insufficient

(2) x! = |x|

This statement implies that x is either 1 or 2. It is always positive.

P.S.: 0! = 1 and is NOT 0

Sufficient

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Re: If x and y are integers, is x positive? (1) x = |y| (2) x! = |x| [#permalink]
Bunuel wrote:
If x and y are integers, is x positive?

(1) x = |y|
(2) x! = |x|

From Statement 1, x can be 0 or Positive Integer
Statement is not Sufficient to confirm x > 0

From Statement 1, x can't be negative because factorial for negative numbers are not possible .
x must be a positive integer because if x = 0 then 0! = 1 = |x| = |0| is not possible .
x is a positive integer .
Statement 2 is sufficient