Is x 0 (2) |x| 1

Question

Is x < 0 ?

(1) x^2 - x > 0 
(2) |x| > 1

prithviraj99 · Answer

Answer should be E

x^2-x>0 => x(x-1)>0 => x<0 or x>1
Insufficient to tell if x<0

|x|>1 => x>1 or x<-1
Insufficient to tell if x<0

Together as well both the statements give us the result x<-1 or x>1. Insufficient

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suvam97 · Answer

1. x(x-1)>0 => x>1 or x>0 (when both positive - No) & x<0 or x<1 (May or maynot be ) - Not sufficient
2.|x|>1 => x>1(no) & x<-1(yes) - Not sufficient

1&2 :
x<-1 : Yes ! - satisfies 1 & 2.
X>1 : No! - also satisfies 1&2.
Not suffficient.
Answer : E

Is x < 0 ? (1) x^2 - x > 0 (2) |x| > 1

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