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# What is the value of x? (1) |2x + 3| = 4 (2) |4x – 4| = 2

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What is the value of x? (1) |2x + 3| = 4 (2) |4x – 4| = 2  [#permalink]

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27 Nov 2018, 13:45
00:00

Difficulty:

45% (medium)

Question Stats:

59% (01:11) correct 41% (01:25) wrong based on 31 sessions

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What is the value of x?

(1) |2x + 3| = 4
(2) |4x – 4| = 2
DS Forum Moderator
Joined: 22 Aug 2013
Posts: 1443
Location: India
Re: What is the value of x? (1) |2x + 3| = 4 (2) |4x – 4| = 2  [#permalink]

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27 Nov 2018, 22:09
rencsee wrote:
What is the value of x?

(1) |2x + 3| = 4
(2) |4x – 4| = 2

(1) |2x + 3| = 4 means that 2x+3 is either equal to 4 or -4.
2x+3 = 4, gives x = 1/2; while 2x+3 = -4, gives x = -7/2.
Since these are 2 distinct values, the statement is Not Sufficient to answer the question.

(2) |4x – 4| = 2 means that 4x-4 is either equal to 2 or -2.
4x-4 = 2, gives x = 3/2, while 4x-4 = -2, gives x = 1/2.
Since these are 2 distinct values, the statement is Not Sufficient to answer the question.

Combining the two statements, the only common value of x is 1/2, which is unique. So Sufficient to answer the question.

Re: What is the value of x? (1) |2x + 3| = 4 (2) |4x – 4| = 2   [#permalink] 27 Nov 2018, 22:09
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