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6≤|x|≤8 1≤|y|≤2 3≤|z|≤4 If x, y, and z satisfy the ine
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27 Mar 2019, 08:57
27 Mar 2019, 08:57
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70% (01:11) correct
29% (01:50) wrong based on 81 sessions
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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
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
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Joined: 10 Apr 2015
Posts: 6218
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Re: 6≤|x|≤8 1≤|y|≤2 3≤|z|≤4 If x, y, and z satisfy the ine
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27 Mar 2019, 12:30
27 Mar 2019, 12:30
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alamin 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
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
If 6 ≤ |x| ≤ 8 , then EITHER 6 ≤ x ≤ 8 OR -8 ≤ x ≤ -6
If 1 ≤ |y| ≤ 2 , then EITHER 1 ≤ y ≤ 2 OR -2 ≤ y ≤ -1
If 3 ≤ |x| ≤ 4 , then EITHER 3 ≤ z ≤ 4 OR -4 ≤ z ≤ -3
What is the least possible value of |x + y + z|?
If x = -6, y = 2 and z = 4, then |x + y + z| = |(-6) + 2 + 4| = 0
Since 0 is the smallest answer choice, the correct answer must be A
Cheers,
Brent
Title information 6≤|x|≤8 1≤|y|≤2 3≤|z|≤4
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08 Feb 2020, 08:53
08 Feb 2020, 08:53
\(6≤|x|≤8\)
\(1≤|y|≤2\)
\(3≤|z|≤4\)
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
\(1≤|y|≤2\)
\(3≤|z|≤4\)
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
