If the q says: x is not equal to 0
is mod(x)<1 ?
1)x^2<1
2)mod(x)<1/x
From 1 : x^2<1> +0r- (x)<1 which is mod(x)<1 here x being a factor.So sufficient.
From 2: mod(x)<1>+or-(x)<1/x (x is a factor here) but with -x being a factor would contradict the value.For example let x =1/2
so 1/2<1>1/2<2; but is -1/2 < 1/-(1/2) no.
However we are asked about whether mod(x)<1 ?
and from above we knew, yes definitely.So suficient.
Ans D.
Practice DS, Section 3, Question 15
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