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Which of the following could be the value of x, if |4x – 2| = 10?

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Which of the following could be the value of x, if |4x – 2| = 10?  [#permalink]

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New post 20 Dec 2015, 04:12
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

84% (00:32) correct 16% (00:31) wrong based on 277 sessions

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Re: Which of the following could be the value of x, if |4x – 2| = 10?  [#permalink]

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New post 20 Dec 2015, 04:30
1
|4x – 2| = 10
=> 4x - 2 = 10
or 4x - 2 = -10

=> 4x = 12 or 4x = -8
=> x = 3 or x = -2

Answer B
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Re: Which of the following could be the value of x, if |4x – 2| = 10?  [#permalink]

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New post 20 Dec 2015, 19:17
Hi All,

While this question can be solved algebraically, it can also be solved rather easily by TESTing THE ANSWERS.

Since we're dealing with an absolute value sign, we're looking for one of two possibilities....

Which of the 5 answer choices, when you TEST it (by plugging it into X), will lead to either |-10| or |10|? Once you find it, you've answered the question.

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Re: Which of the following could be the value of x, if |4x – 2| = 10?  [#permalink]

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New post 28 Dec 2015, 12:25
| 4x - 2 | = 10

Step 1: Open the modulus along with the conditions

Case 1:
4x - 2 = 10 ; x>0
4x = 12
x = 3

Case 2:
4x - 2 = -10 ; x<0
4x = -8
x= -2

Step 2:
Check the options
-2 is one of the options.

Ans: -2 Option B
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Re: Which of the following could be the value of x, if |4x – 2| = 10?  [#permalink]

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New post 30 Nov 2018, 11:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which of the following could be the value of x, if |4x – 2| = 10? &nbs [#permalink] 30 Nov 2018, 11:50
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