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Is x equal to –1? (1) |2x – 2| + |2x + 2| = 4 (2) |3x – 2| + |3x + 2|=

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 52902
Is x equal to –1? (1) |2x – 2| + |2x + 2| = 4 (2) |3x – 2| + |3x + 2|=  [#permalink]

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New post 26 Nov 2017, 23:01
1
2
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

70% (02:03) correct 30% (01:43) wrong based on 121 sessions

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Director
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P
Joined: 31 Jul 2017
Posts: 518
Location: Malaysia
Schools: INSEAD Jan '19
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: Is x equal to –1? (1) |2x – 2| + |2x + 2| = 4 (2) |3x – 2| + |3x + 2|=  [#permalink]

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New post 26 Nov 2017, 23:35
Bunuel wrote:
Is x equal to –1?

(1) |2x – 2| + |2x + 2| = 4
(2) |3x – 2| + |3x + 2| = 6


Stm 1: X can be 1,-1,0,1/2,-1/2 etc.
Stm 2: X can be 1,-1 etc.

Combined - 1,-1 etc.

Should be E.
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Re: Is x equal to –1? (1) |2x – 2| + |2x + 2| = 4 (2) |3x – 2| + |3x + 2|=  [#permalink]

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New post 26 Nov 2017, 23:53
(1) When opening module, we can find that equation has 2 solutions: 1 and -1
(2) same as above
Answer E
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Re: Is x equal to –1? (1) |2x – 2| + |2x + 2| = 4 (2) |3x – 2| + |3x + 2|=  [#permalink]

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New post 04 Apr 2018, 10:21
My Solution -

1. |2x-2| + |2x+2|

Four cases: \\ 2x+2 + 2x + 2 \\ -2x+2 +2x+2 \\ 2x-2 + -2x-2 \\ and \\ -2x-2-2x-2 \\

Hence we get x= +-1 from the above. So NSF

2. |3x – 2| + |3x + 2|

Exactly the same method and will give x= +-1

Hence B and C are both INSF.

Answer - E
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Re: Is x equal to –1? (1) |2x – 2| + |2x + 2| = 4 (2) |3x – 2| + |3x + 2|=  [#permalink]

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New post 04 Apr 2018, 11:48
akhillall1011 wrote:
My Solution -

1. |2x-2| + |2x+2|

Four cases: \\ 2x+2 + 2x + 2 \\ -2x+2 +2x+2 \\ 2x-2 + -2x-2 \\ and \\ -2x-2-2x-2 \\

Hence we get x= +-1 from the above. So NSF

2. |3x – 2| + |3x + 2|

Exactly the same method and will give x= +-1

Hence B and C are both INSF.

Answer - E


Additionally in 1 any value between -1 and 1 also satisfies.
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Re: Is x equal to –1? (1) |2x – 2| + |2x + 2| = 4 (2) |3x – 2| + |3x + 2|=   [#permalink] 04 Apr 2018, 11:48
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Is x equal to –1? (1) |2x – 2| + |2x + 2| = 4 (2) |3x – 2| + |3x + 2|=

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