If x is not equal to 0, is |x| less than 1?

(1) x/|x| < x

(2) |x| > x

Modifying the question stem, |x| less than 1 => is -1 < x < 1?

(1) tells us that 1< x and -1 < x, which means that we cannot definitively say that x lies between -1 and 1.

(2) tells us that x < 0, which again does not tell us if x lies between -1 and 1.

Combining (1) and (2) tells us that x lies between -1 and 0 and this information is enough to definitively say, x lies between -1 and 1 or |x| is less than 1.

Hence C.

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To find what you seek in the road of life, the best proverb of all is that which says:

"Leave no stone unturned."

-Edward Bulwer Lytton