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
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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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BTGModeratorVI
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B
C
D
E
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Brent@GMATPrepNow
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Let's make sure we understand what this [] symbol means.BTGModeratorVI wrote: ↑Wed Jul 29, 2020 2:47 pmIf [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
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
