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If [z] denotes the greatest integer less than or equal to z and [z] = -1 which of the following statements must be true?

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by BTGModeratorVI » Wed Jul 29, 2020 2:47 pm
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If [z] denotes the greatest integer less than or equal to z and [z] = -1 which of the following statements must be true?

A. z = -1
B. -2 <= z < -1
C. -2 < z <= -1
D. -1 <= z < 0
E. -1 < z <= 0

Answer: D
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Re: If [z] denotes the greatest integer less than or equal to z and [z] = -1 which of the following statements must be t

by Brent@GMATPrepNow » Thu Jul 30, 2020 7:31 am
BTGModeratorVI wrote: ↑
Wed Jul 29, 2020 2:47 pm
 If [z] denotes the greatest integer less than or equal to z and [z] = -1 which of the following statements must be true?

A. z = -1
B. -2 <= z < -1
C. -2 < z <= -1
D. -1 <= z < 0
E. -1 < z <= 0

Answer: D
Source: GMAT prep
Let's make sure we understand what this [] symbol means.
Here are a few examples:
[3.1] = 3
[5.8] = 5
[0.7] = 0
[-0.9] = -1
[-4.6] = -5

So, if [z] = -1, then -1 ≤ z < 0

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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