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Bunuel
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GMAT 1: 760 Q51 V42
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Why did you choose this equation? |x−38|<14|x−38|<14 2 cases can be formed from all those options. Why is this the answer which has been solved?
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Isn't D also the right answer?
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Let's use a simple and quick method to do the question, a method that minimises chances of errors

Take a child of height 23 inches
This child should NOT be allowed on the roller coaster

Substitute x=23 in each of the answer choices and see whether the equation is true or false

A. |x – 24| < 52 TRUE
B. |x – 28| < 14 TRUE
C. |x – 38| < 14 FALSE
D. |x – 14| < 38 TRUE
E. |x – 28| < 52 TRUE

Answer can only be C

Posted from my mobile device
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AbhaGanu
Why did you choose this equation? |x−38|<14|x−38|<14 2 cases can be formed from all those options. Why is this the answer which has been solved?

We need this range:
24<x<52

If you look closely, even before solving all the options you can figure out which can be ignored. I solved option C & D and verified with the range given above.
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spring14125
Isn't D also the right answer?

Option D gives x < 52 (which is correct)
and x > -24 (which is wrong)
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Hello from the GMAT Club BumpBot!

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