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

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Joined: 02 Sep 2009
Posts: 55228
Which of the following could be the value of x, if |4x – 2| = 10?  [#permalink]

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20 Dec 2015, 05:12
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:43) correct 14% (00:52) wrong based on 326 sessions

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

A. –3
B. –2
C. 1
D. 2
E. 4

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

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20 Dec 2015, 05:30
1
|4x – 2| = 10
=> 4x - 2 = 10
or 4x - 2 = -10

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

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

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20 Dec 2015, 20:17
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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28 Dec 2015, 13:25
| 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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30 Nov 2018, 12:50
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Re: Which of the following could be the value of x, if |4x – 2| = 10?   [#permalink] 30 Nov 2018, 12:50
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