Data Sufficiency (DS) | Re: Is 3/(x 2) > 0 ? (1) 1/(x 2) > 0 (2) 2/(x 2) < 0

Is \(\frac{3}{x − 2} > 0\) ?
fraction > 0 means both numerator and denominator have same sign.
Thus question becomes is x-2>0? Or is x>2

(1) \(\frac{1}{x − 2} > 0\)
both numerator and denominator have same sign.
So x-2 is also positive as 1 is positive.
x>2.
Sufficient

(2) \(\frac{−2}{x − 2} < 0\)
numerator and denominator have opposite sign here.
So x-2 is positive as the numerator -2 is negative.
x>2.
Sufficient


D

Statistics : Posted by chetan2u • on 27 Oct 2023, 01:30 • Replies 1 • Views 92

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