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Summer3
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ricokevin
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Summer3
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Summer3
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I solved this question and :cry:

I got C, D and E answer choices correct!!

How to solve it??? :(
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ricokevin
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Summer3
I solved this question and :cry:

I got C, D and E answer choices correct!!

How to solve it??? :(


I think D is the answer.

abs(2-x) <2
-2 < 2-x <2
-4 < -x <0
4 > x > 0

=> 0 < x < 4

Therefore, (0,4) D

Yes, C and E also satisfies the equation but it's not COMPLETE.

note that (0,2) and (2,4) is "inside" (0,4)

:)
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Summer3
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Yes, it is D!

good approach! :)
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Summer3
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Quote:
-2 < 2-x <2


ricokevin, why did you take -2 here? Is it because -2 is the smallest number of all the answer choices? or any other reason??
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nervousgmat
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Summer3,

I did this a little differently but came up with the same answer.
First, let's see what the result will be if |2-x| is positive. In this case,
2-x<2
-x<0
x>0

Then, let' see what happend if the expression |2-x| is negative. In this case,
-2+x<2
x<4

Therefore, 0<x<4, and the answer is D!
Please correct me if my logic is wrong...
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Summer3
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I think your logic is correct too, since we have -ve value in the answer choices....

Somebody else, pls help here!
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nervousgmat
Summer3,

I did this a little differently but came up with the same answer.
First, let's see what the result will be if |2-x| is positive. In this case,
2-x<2
-x<0
x>0

Then, let' see what happend if the expression |2-x| is negative. In this case,
-2+x<2
x<4

Therefore, 0<x<4, and the answer is D!
Please correct me if my logic is wrong...


Your logic is perfectly fitted and it will always bring u to the solution even if the inequation could be extremely complexified by harder expressions :)

Also, Summer3, u should keep in mind that we are looking for the range... That means the superior and inferior limits of X that preserve vaild the inequation if X in the range or domain of validity :).... Thus, (D) is the answer. :)
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As you are asking for explanation of the question, i am not putting solution although i am tempted to do so. The question is asking for range of values which will satisfy the inequality. e.g: if you feel that the inequality will be satisfied by x>=2 and x0 then answer is (0,infinity)
if inequality is satisfied for 0<=x<2 then answer is (0,2)

I have tried to explain the question.Hope it helps



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