If [x] denotes the least integer greater than or equal to x and [x] = 0, which of the following statements must be true?
A. x = 0
B. 0 <= x < 1
C. 0 < x <= 1
D. -1 <= x < 0
E. -1 < x <= 0
OA E
Source: GMAT Prep
If [x] denotes the least integer greater than or equal to x and [x] = 0, which of the following statements must be true?
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First, let's take a moment to get a good idea of what this strange notation means.BTGmoderatorDC wrote: ↑Sat Mar 12, 2022 6:38 pmIf [x] denotes the least integer greater than or equal to x and [x] = 0, which of the following statements must be true?
A. x = 0
B. 0 <= x < 1
C. 0 < x <= 1
D. -1 <= x < 0
E. -1 < x <= 0
OA E
Source: GMAT Prep
A few examples:
[5.1] = 6 since 6 is the smallest integer that's greater than or equal to 5.1
[3] = 3 since 3 is the smallest integer that's greater than or equal to 3
[8.9] = 9 since 9 is the smallest integer that's greater than or equal to 8.9
[-1.4] = -1 since -1 is the smallest integer that's greater than or equal to -1.4
[-13.6] = -13 since -13 is the smallest integer that's greater than or equal to -13.6
So, if [x] = 0, then -1 < x ≤ 0
Answer: E
Cheers,
Brent