Question rephrase: is -1<x<1 ?
(a) this is straightforward as x will be between -1 and 1 so suff
(b) |x| < 1/x
when x = +ve
x < 1/x or x^2 < 1 so sufficient
when x = -ve
-x < 1/x or -x^2 > 1 or x^2 < -1 this is a not possible case hence reject
so B is also sufficient.
I think plugging numbers would have been an easier approach in this case
here u go...
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