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# Is x a negative number?

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Math Expert
Joined: 02 Sep 2009
Posts: 52431
Is x a negative number?  [#permalink]

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27 Dec 2017, 23:53
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:16) correct 32% (01:29) wrong based on 102 sessions

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Is x a negative number?

(1) 5x + 1 > 6x
(2) x^2 > 1

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Joined: 30 Dec 2016
Posts: 230
GMAT 1: 650 Q42 V37
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Re: Is x a negative number?  [#permalink]

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28 Dec 2017, 06:09
Is x a negative number?

(1) 5x + 1 > 6x

from (1) we get,--> x < 1

x can be 0.something or negative. Insufficient.

(2) x^2 > 1

x > +-1
x can be 1.1 or -1.1. Insufficient.

From (1)+(2)
x^2 > 1 and x < 1. So x must be negative.
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Re: Is x a negative number?  [#permalink]

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27 Feb 2018, 12:23
Bunuel wrote:
Is x a negative number?

(1) 5x + 1 > 6x
(2) x^2 > 1

after combining both statements we get x>+1/-1 and x<1...I couldn't understand how x<0 because combining both I got x to be both +ve and -ve.Please help
Math Expert
Joined: 02 Sep 2009
Posts: 52431
Re: Is x a negative number?  [#permalink]

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27 Feb 2018, 12:46
2
sahilsnpt wrote:
Bunuel wrote:
Is x a negative number?

(1) 5x + 1 > 6x
(2) x^2 > 1

after combining both statements we get x>+1/-1 and x<1...I couldn't understand how x<0 because combining both I got x to be both +ve and -ve.Please help

Is x a negative number?

(1) 5x + 1 > 6x. Simplifying gives 1 > x. Not sufficient.

(2) x^2 > 1 --> take the square root: |x| > 1 --> x < -1 or x > 1. Not sufficient.

(1)+(2) Intersection of the ranges from (1) and (2) is x < -1, thus x is a negative number. Sufficient.

Hope it's clear.
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Re: Is x a negative number?  [#permalink]

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28 Feb 2018, 22:16
Bunuel wrote:
Is x a negative number?

(1) 5x + 1 > 6x
(2) x^2 > 1

IMO C FROM STATEMENT 1
5x+1>6x
1>x so x can be 0,0.2 or negative not sufficient
statement 2
x^2>1 then x can be negative or positive but not equal to 0 not sufficient
combining both we can say x will be negative as it is less than 0.
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Re: Is x a negative number?  [#permalink]

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17 Apr 2018, 06:30
+1 for option C.

St 1 - x<1 -> NS
St 2 - x>1;x<-1 -> NS

Both 1 & 2 - x<-1 -> x is negative

Option C
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Re: Is x a negative number? &nbs [#permalink] 17 Apr 2018, 06:30
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