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What is the value of \(x?\)

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Source: — Data Sufficiency |
Junior | Next Rank: 30 Posts
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Re: What is the value of \(x?\)

by terminator12 » Thu Jul 30, 2020 5:48 pm

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Statement 1:
We see 2 important points here: -2 and 2
let's make ranges about these points:
1) x < -2
- x - 2 = 2(-x + 2)
x = 6

2) -2 < x < 2
x + 2 = 2(-x + 2)
x = \(\frac{2}{3}\)

3) x + 2 = 2(x - 2)
x = 6

Hence, we have 2 different values of x. Hence, insufficient.

Statement 2:
Says x > 2
Clearly insufficient.

Statement 1 + 2:
We get x = 6
Hence, both statements are needed to find x.

Hope this helps!
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