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

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

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New post 27 Nov 2018, 21:16
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Difficulty:

  45% (medium)

Question Stats:

76% (00:58) correct 24% (01:10) wrong based on 36 sessions

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

(1) |4 - 3x| = 14

(2) |2x - 1| = 11
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Re: If x is a non negative number, Is x > 5? (1) |4 - 3x| = 14  [#permalink]

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New post 27 Nov 2018, 21:26
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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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

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New post 28 Nov 2018, 06:59
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 &nbs [#permalink] 28 Nov 2018, 06:59
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If x is a non negative number, Is x > 5? (1) |4 - 3x| = 14

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