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# If x is a non negative number, Is x > 5? (1) |4 - 3x| = 14

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DS Forum Moderator
Joined: 22 Aug 2013
Posts: 1443
Location: India
If x is a non negative number, Is x > 5? (1) |4 - 3x| = 14  [#permalink]

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27 Nov 2018, 22:16
1
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Difficulty:

55% (hard)

Question Stats:

62% (01:28) correct 38% (01:32) wrong based on 55 sessions

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If x is a non negative number, Is x > 5?

(1) |4 - 3x| = 14

(2) |2x - 1| = 11
Math Expert
Joined: 02 Aug 2009
Posts: 7671
Re: If x is a non negative number, Is x > 5? (1) |4 - 3x| = 14  [#permalink]

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27 Nov 2018, 22:26
If x is a non negative number, Is x > 5?

(1) |4 - 3x| = 14
two cases..
(I) the mod is positive, so 4-3x=14..........3x=-10.....x=-10/3
(II) the mod is negative, so 3x-4=14..........3x=18.....x=6
Since x is non-negative number, ONLY 6 is possible
suff

(2) |2x - 1| = 11
two cases..
(I) the mod is positive, so 2x-1=11..........2x=12.....x=6
(II) the mod is negative, so 1-2x=11..........2x=-10.....x=-5
Since x is non-negative number, ONLY 6 is possible
suff

D
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Re: If x is a non negative number, Is x > 5? (1) |4 - 3x| = 14  [#permalink]

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28 Nov 2018, 07:59
amanvermagmat wrote:
If x is a non negative number, Is x > 5?

(1) |4 - 3x| = 14

(2) |2x - 1| = 11

Thing to remember here that x has to be + ve only
from 1 :
only value of x which suffices is when x= 6, so sufficient

From 2:
again only at x=6 it is sufficient

IMO D should be correct..
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Re: If x is a non negative number, Is x > 5? (1) |4 - 3x| = 14   [#permalink] 28 Nov 2018, 07:59
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# If x is a non negative number, Is x > 5? (1) |4 - 3x| = 14

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