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If |x| = 3x - 2, then x = ?

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Re: If |x| = 3x - 2, then x = ? [#permalink]

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New post 01 Feb 2016, 18:26
I agree, almost fell in the trap for 1/2
if we plug in 1/2, we then have 1/2 = 1.5-2, but the absolute value cannot be negative.
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Re: If |x| = 3x - 2, then x = ? [#permalink]

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New post 23 Feb 2017, 22:47
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Re: If |x| = 3x - 2, then x = ? [#permalink]

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New post 23 Feb 2017, 22:57
mave23 wrote:
If |x| = 3x - 2, then x = ?

A. 1
B. 1/2
C. 1 and 1/2
D. -1/2
E. -1


It is urgent to verify/test the solutions in this types of question. Here x gives two values (e.g., 1 and 1/2). But, 1/2 doesn't satisfy the question stem. Thank you...
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Re: If |x| = 3x - 2, then x = ? [#permalink]

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New post 26 Feb 2017, 12:11
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Hi All,

This question can be solved by TESTing THE ANSWERS.

Let's start with the easiest of the possibilities: 1. Does X=1 fit the given equation?

|1| = 3(1) - 2..... 1 = 1
This is clearly a possible solution, so it must be in the correct answer. Eliminate Answers B, D and E.

The only option that remains is X = 1/2. Does X = 1/2 fit the given equation?

|1/2| = 3(1/2) - 2..... 1/2 = -1/2.
This is NOT mathematically correct, so X = 1/2 is NOT a potential solution. Eliminate Answer C.

Final Answer:
[Reveal] Spoiler:
A


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Re: If |x| = 3x - 2, then x = ?   [#permalink] 26 Feb 2017, 12:11

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