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19 Nov 2021, 01:44
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If \(x\), \(y\), and \(z\) are consecutive odd integers and \(x < 0\) and \(z > 0\), then what is the range of possible values of \(xyz\) ?
A. \(0\)
B. \(1\)
C. \(3\)
D. \(4\)
E. \(6\)
A. \(0\)
B. \(1\)
C. \(3\)
D. \(4\)
E. \(6\)
19 Nov 2021, 01:44
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Official Solution:
If \(x\), \(y\), and \(z\) are consecutive odd integers and \(x < 0\) and \(z > 0\), then what is the range of possible values of \(xyz\) ?
A. \(0\)
B. \(1\)
C. \(3\)
D. \(4\)
E. \(6\)
Out of three consecutive ODD integers one is negative and one is positive. We can have the following two cases:
Two numbers are negative and one number is positive: {-3, -1, 1}. In this case \(xyz = 3\).
One number is negative and two numbers are positive: {-1, 1, 3}. In this case \(xyz = -3\).
The range of possible values of \(xyz\) is therefore, \(3- (-3)=6\)
Answer: E
If \(x\), \(y\), and \(z\) are consecutive odd integers and \(x < 0\) and \(z > 0\), then what is the range of possible values of \(xyz\) ?
A. \(0\)
B. \(1\)
C. \(3\)
D. \(4\)
E. \(6\)
Out of three consecutive ODD integers one is negative and one is positive. We can have the following two cases:
Two numbers are negative and one number is positive: {-3, -1, 1}. In this case \(xyz = 3\).
One number is negative and two numbers are positive: {-1, 1, 3}. In this case \(xyz = -3\).
The range of possible values of \(xyz\) is therefore, \(3- (-3)=6\)
Answer: E
17 Jul 2025, 22:04
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I did not quite understand the question. range of possible values of xyz made me think about the product. of xyz
not the individual values of x , y and z
not the individual values of x , y and z
