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If x, y, and z satisfy the inequalities shown, what is the least possi

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New post 26 Nov 2018, 23:22
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A
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C
D
E

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  45% (medium)

Question Stats:

64% (01:42) correct 36% (01:53) wrong based on 167 sessions

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New post 27 Nov 2018, 08:11
Bunuel wrote:
6 ≤ |x| ≤ 8

1 ≤ |y| ≤2

3 ≤ |z| ≤ 4

If x, y, and z satisfy the inequalities shown, what is the least possible value of |x+y+z| ?

A. 0
B. 1
C. 2
D. 3
E. 4



GMATinsight :

Sir how to solve this question ?

least values for x can be 6 , y=1 and z 3 ,
Is there a (-) sign missing from the given expressions?
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If x, y, and z satisfy the inequalities shown, what is the least possi  [#permalink]

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New post 27 Nov 2018, 23:00
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Archit3110 wrote:
Bunuel wrote:
6 ≤ |x| ≤ 8

1 ≤ |y| ≤2

3 ≤ |z| ≤ 4

If x, y, and z satisfy the inequalities shown, what is the least possible value of |x+y+z| ?

A. 0
B. 1
C. 2
D. 3
E. 4


Sir how to solve this question ?

least values for x can be 6 , y=1 and z 3 ,
Is there a (-) sign missing from the given expressions?


Dear Archit3110
Notice that possible values of x lies in: -8≤x≤-6 & 6≤x≤8. So we can conclude that -2≤y≤-1 & 1≤y≤2 and, -4≤z≤-3 & 3≤z≤4.
So, least possible value for |x+y+z| might be calculated as x=-6, y=2 & z=4, which equals 0.
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Re: If x, y, and z satisfy the inequalities shown, what is the least possi  [#permalink]

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New post 04 Dec 2018, 21:10
Bunuel

can we have the official answer please?
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New post 05 Dec 2018, 03:42
Can someone provide the solution??
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New post 05 Dec 2018, 04:31
Jhim123 wrote:
Can someone provide the solution??

You need to read the first two comments; BTW:
We are going to find such values for x, y & z that their absolute sum will be minimum. Since any absolute value is equal or greater than zero.
As available ranges we can consider x=-6, y=2 & z=4, so that sum will be zero (minimum value).
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If x, y, and z satisfy the inequalities shown, what is the least possi   [#permalink] 05 Dec 2018, 04:31
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