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anmolgmat14
From 1 we are getting 2 values, Then how A can be the answer ?

I feel you. That is the OA in the book. I have posted this to seek confirmation.
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RJ7X0DefiningMyX
anmolgmat14 RajeshKanjan

The two values that we get from Statement (1) are - 2 and 6, putting which into |x-2| gives us the same and hence, a "unique" answer

For x = -2, |-2-2| = |-4| = 4;
For x = 6, |6-2| = |4| = 4

And hence, (A) is SUFFICIENT to arrive at a unique answer.

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Thank you. Yes You're right. We didn't do the last mile.
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RajeshKanjan
DS Question:
What is the value of |x-2|?
1. x^2-4x=12
2. x<2

Source: McGraw GMAT 11th Edition

Q: |x-2|=?

#1:
x^2-4x-12=0
(x-2)^2=16=4^2
|x-2|=4
SUFFICIENT

#2:
x<2
Since x can take multiple values
NOT SUFFICIENT

IMO A

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