What is the value of \(x?\)
(1) \(|x+2|=2|x−2|\)
(2) \(x>2\)
[spoiler]OA=C[/spoiler]
Source: Princeton Review
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What is the value of \(x?\)
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terminator12
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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!
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!
