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Re: PowerPrep DS question [#permalink]
07 Aug 2008, 10:27

Expert's post

lumone wrote:

If x and y are integers and y=|x+3|+|4-x| , does y=7?

(1) x<4

(2) x>-3

Remember that |a - b| is just the distance between a and b on the number line.

Write the question as:

y=|x - (-3)| + |4-x|

In words, this says: "y is equal to the distance from x to -3 plus the distance from x to 4. Draw a number line, draw the points -3 and 4, and put x in the middle. If you add the two distances, you clearly get 7, the distance from -3 to 4. If x is less than -3 or larger than 4, the sum of the distances will be larger than 7. Easy to see if you draw the picture. So we need both statements: C. _________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Re: PowerPrep DS question [#permalink]
07 Aug 2008, 16:31

lumone wrote:

If x and y are integers and y=|x+3|+|4-x| , does y=7?

(1) x<4

(2) x>-3

to solve this question lets consider three sets of values for x x<0------I x>0------II x=0------III

in region I ,y= 3-x+4+x=7 in region II , y=3+x+4-x=7 in region III , y=3+4=7 hence always irrespective ofd any value of x we get y=7 why require I and II infact both are individually sufficient IMO D _________________

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