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GRE - Quantitative Reasoning - Inequalities

If x<0, which of the following represents a positive number?

If x<0, which of the following represents a positive number? 

A) x/|x|
B) |x|/x
C) x|x|
D) -x|x|
E) x|x|

Given x < 0

=> |x| > 0

A) x/|x| = negative / positive = negative

B) |x| / x = positive / negative = negative

C) x|x| = negative * positive = negative

D) -x|x| = - negative* positive = -negative = positive ........... Correct

 

Option D is correct