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Is X positive? (1) 15X > 16X (2) X + 15 > 0

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Bunuel
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Is X positive? (1) 15X > 16X (2) X + 15 > 0 [#permalink] New post   31 Jul 2019, 10:13
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85% (00:48) correct 15% (00:56) wrong based on 143 sessions
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Is X positive?

(1) 15X > 16X
(2) X + 15 > 0
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A
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KSBGC
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Re: Is X positive? (1) 15X > 16X (2) X + 15 > 0 [#permalink] New post   31 Jul 2019, 10:16
Bunuel wrote:
Is X positive?

(1) 15X > 16X
(2) X + 15 > 0



Statement 1;

15x > 16x

15x - 16x >0

x(15 - 16) >0

x(-1)>0

Therefore , x must be negative .

Sufficient.

Statement 2:

x + 15>0

x> -15

x could be 100 or 0.

NOT sufficient .

A is the correct answer.
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Re: Is X positive? (1) 15X > 16X (2) X + 15 > 0 [#permalink] New post   31 Jul 2019, 10:20
Bunuel wrote:
Is X positive?

(1) 15X > 16X
(2) X + 15 > 0


#1
15x-16x>0
-x>0
x has to be -ve
sufficient
#2
x+15>0
x can be -ve or +ve ; insufficeint
IMO A
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Re: Is X positive? (1) 15X > 16X (2) X + 15 > 0 [#permalink] New post   31 Jul 2019, 10:25
My take -A

After looking at the solution.. i started laughing on myself..

I started to take integers and fractions in the negative and positive space.. took 1 min 20 sec..


But this can be solved using inequalities

Posted from my mobile device
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Re: Is X positive? (1) 15X > 16X (2) X + 15 > 0 [#permalink] New post   31 Jul 2019, 10:35
Is X positive?

(1) 15X > 16X --> 0 > X
X is clearly negative
SUFFICIENT

(2) X + 15 > 0 --> X>-15
X can be either negative (i.e. -5) or positive (i.e. 5)
NOT SUFFICIENT

Answer is (A)

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Re: Is X positive? (1) 15X > 16X (2) X + 15 > 0 [#permalink] New post   31 Jul 2019, 10:37
Bunuel wrote:
Is X positive?

(1) 15X > 16X
(2) X + 15 > 0



Is X positive?

(1) 15X > 16X
15x - 16x >0
-x>0
x<0
x is NOT positive
SUFFICIENT

(2) X + 15 > 0
x>-15
if x=-3<0
If x =5>0
NOT SUFFICIENT

IMO A
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Re: Is X positive? (1) 15X > 16X (2) X + 15 > 0 [#permalink]
31 Jul 2019, 10:37
Moderator:
Bunuel
Math Expert
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