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If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss

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If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

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New post 12 Nov 2018, 01:25
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If 2 < x < 5 and 3 < y < 10, which of the following expresses the possible range of values for x – y ?

A. −1 < x – y < 5
B. −1 < x – y < 2
C. −5 < x – y < 2
D. −8 < x – y < 2
E. −8 < x – y < −1

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Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

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New post 12 Nov 2018, 03:04
Bunuel wrote:
If 2 < x < 5 and 3 < y < 10, which of the following expresses the possible range of values for x – y ?

A. −1 < x – y < 5
B. −1 < x – y < 2
C. −5 < x – y < 2
D. −8 < x – y < 2
E. −8 < x – y < −1



min value x=1 and y=2
max value x=4 , y=9
x-y
(1-2)<x-y<(4-9)
-1<(x-y)<-5
-1<x-y>5
option A, sign seems to be wrong given in option A...
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Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

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New post 12 Nov 2018, 03:10
D imo
For min value x can be 2 and y can be 10.
For max value x can be 5 and y can be 3.
So range of x-y will be as
Between -8 and 2.

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If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

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New post 12 Nov 2018, 16:19
The question stem does not specify x or y as integers, therefore they could be 2.01, 3.01, 9.99, etc. for example.

1) Plug in the highest and lowest possible values.
2) To keep it simple, have x as 2 and y as 10
x-y = 2 - 10 = -8
-8 is the lowest possible number

Now have x = 5 and y = 3
x-y = 5 - 3 = 2
2 is the highest possible number.

3) The possible range is -8 < x - y < 2

D
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Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

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New post 14 Nov 2018, 08:42
imo,
lowest and highest value of X = 2 and 4
lowest and highest value of Y = 4 and 9
so the range should be -7 < X-Y < 0

@bunnuel Please help
thank you!
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Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

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New post 27 Nov 2018, 18:42
Bunuel wrote:
If 2 < x < 5 and 3 < y < 10, which of the following expresses the possible range of values for x – y ?

A. −1 < x – y < 5
B. −1 < x – y < 2
C. −5 < x – y < 2
D. −8 < x – y < 2
E. −8 < x – y < −1



4 values are possible in this kinda question.

5- 10 = -5

2 - 10 = -8

5 - 3 = 2

3 -2=1.

Max = 2
min = -8

-8<x<2

all the values fall into this range.
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Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

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New post 21 Jan 2019, 19:24
Bunuel wrote:
If 2 < x < 5 and 3 < y < 10, which of the following expresses the possible range of values for x – y ?

A. −1 < x – y < 5
B. −1 < x – y < 2
C. −5 < x – y < 2
D. −8 < x – y < 2
E. −8 < x – y < −1


To determine the smallest difference of x and y, we want x to be as small as possible and y to be as large as possible. Thus, the smallest difference of x and y is 2 - 10 = -8.

To determine the largest difference of x and y, we want x to be as large as possible and y to be as small as possible. Thus, the largest difference of x and y is 5 - 3 = 2.

Thus, -8 < x - y < 2.

Answer: D
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Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss   [#permalink] 21 Jan 2019, 19:24
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