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Bills' school is 10 miles from his home. He travels 4 miles

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Manager
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Bills' school is 10 miles from his home. He travels 4 miles [#permalink] New post 22 Dec 2007, 15:33
Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?

a) 2<x<10

b) 4<x<10

c) 4<x<12

d) 4<x<16

e) 6<x<16

Please note that all of the answers should read "less than or equal".

My problem is: When Bill travels 4 miles from school to football practice, how do we know that he travels toward his HOME or against his HOME?
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 [#permalink] New post 22 Dec 2007, 15:39
Expert's post
D

max=10+4+2=16
min=10-4-2=4

Therefore, 4<=x<=16
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I got it! [#permalink] New post 22 Dec 2007, 15:42
The correct answer is D. Now I got it. Thanks!
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 [#permalink] New post 22 Dec 2007, 15:46
walker wrote:
D

max=10+4+2=16
min=10-4-2=4

Therefore, 4<=x<=16


good point. I forgot to consider that he could have gone 6 miles in the opposite direction of school ....
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Re: A Math question from OG10 [#permalink] New post 22 Dec 2007, 16:41
GMAT_700 wrote:
Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?

a) 2<x<10

b) 4<x<10

c) 4<x<12

d) 4<x<16

e) 6<x<16

Please note that all of the answers should read "less than or equal".

My problem is: When Bill travels 4 miles from school to football practice, how do we know that he travels toward his HOME or against his HOME?


def. D

max miles from home is 16 and min is 4. 10+6 and 10-6
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Re: A Math question from OG10 [#permalink] New post 22 Dec 2007, 17:26
GMAT_700 wrote:
Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?

a) 2<x<10

b) 4<x<10

c) 4<x<12

d) 4<x<16

e) 6<x<16

Please note that all of the answers should read "less than or equal".

My problem is: When Bill travels 4 miles from school to football practice, how do we know that he travels toward his HOME or against his HOME?


It should be "D".

Let him move in extremes, one towards the home and other totally opposite.
Re: A Math question from OG10   [#permalink] 22 Dec 2007, 17:26
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Bills' school is 10 miles from his home. He travels 4 miles

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