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 Post subject: Algebra (Vol. IV), Question #91.Posted: Sat Oct 30, 2010 12:05 pm

Joined: Thu Jul 01, 2010 12:05 am
Posts: 35
This data sufficiency question asks the following: "If x and y are integers and y = |x + 3| + |4 - x|, does y equal 7?"

(1) x < 4
(2) x > -3

I chose answer E, because I thought both answers were not sufficient. However, the correct answer was choice C. I'm having trouble understanding the relationship between two statements and how these statements are sufficient to answer the question. I'd appreciate your response .

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 Post subject: Re: Algebra (Vol. IV), Question #91.Posted: Mon Nov 01, 2010 4:26 am

Joined: Thu Oct 21, 2010 5:19 am
Posts: 16
This is my understanding:

if -3 < x < 4, x+3 is always positive no matter whether the absolute sign is exist,and 4-x is always positive no matter whether the absolute sign is exist.

Since |x + 3| + |4 - x| equals x+3+4-x, the result is 7.

Hope it helps for you

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