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02 May 2017, 20:45
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
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Question Stats:
75% (01:42) correct
25%
(01:16)
wrong
based on 8
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Is x > 1?
1) (x+1)(|x| - 1) > 0
2) |x| < 5
1) (x+1)(|x| - 1) > 0
2) |x| < 5
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02 May 2017, 21:25
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IMHO A
Statement 1: plugging numbers lhs is negative for any value less than 1 and thus for the inequality to hold x has to be greater than 1. Sufficient.
Statement 2: it says x is in between +5 and -5 and thus not sufficient.
Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Statement 1: plugging numbers lhs is negative for any value less than 1 and thus for the inequality to hold x has to be greater than 1. Sufficient.
Statement 2: it says x is in between +5 and -5 and thus not sufficient.
Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
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02 May 2017, 21:43
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Is x > 1?
1) (x+1)(|x| - 1) > 0
Suppose x>0 then |x|=x and then
(x+1)(x-1)>0
(x^2-1)>0
x^2>1
x>1
Suppose x<0 then |x| = -x and then
(x+1)(-x-1)>0
(x+1)(-x-1)>0
-(x+1)(x+1)>0
-(x+1)^2>0
(x+1)^2<0
but that is not possible. You can not find any real number such that x^2<0
Then x is not negative.
Sufficient x>1
2) |x| < 5
Clearly insufficient
Answer: A
1) (x+1)(|x| - 1) > 0
Suppose x>0 then |x|=x and then
(x+1)(x-1)>0
(x^2-1)>0
x^2>1
x>1
Suppose x<0 then |x| = -x and then
(x+1)(-x-1)>0
(x+1)(-x-1)>0
-(x+1)(x+1)>0
-(x+1)^2>0
(x+1)^2<0
but that is not possible. You can not find any real number such that x^2<0
Then x is not negative.
Sufficient x>1
2) |x| < 5
Clearly insufficient
Answer: A
