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If [x] denotes the least integer greater than or equal to x and [x] =
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29 Jan 2022, 06:33
29 Jan 2022, 06:33
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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
A) x = 0
B) 0 ≤ x < 1
C) 0 < x ≤ 1
D) -1 ≤ x < 0
E) -1 < x ≤ 0
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Re: If [x] denotes the least integer greater than or equal to x and [x] =
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29 Jan 2022, 06:46
29 Jan 2022, 06:46
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Carcass wrote:
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
A. x = 0
B. 0 ≤ x < 1
C. 0 < x ≤ 1
D. -1 ≤ x < 0
E. -1 < x ≤ 0
First, let's take a moment to get a good idea of what this strange notation means.
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
gmatclubot
Re: If [x] denotes the least integer greater than or equal to x and [x] = [#permalink]
29 Jan 2022, 06:46
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