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30 Apr 2026, 19:00
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
69% (00:51) correct
31%
(01:23)
wrong
based on 16
sessions
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Not Attempted Yet
The function #p denotes the least integer equal to or greater than p. If #n = –1, which of the following must be true?
A. n = –1
B. –2 ≤ n ≤ –1
C. –1 ≤ n ≤ 0
D. –2 < n ≤ –1
E. –2 < n < –1
A. n = –1
B. –2 ≤ n ≤ –1
C. –1 ≤ n ≤ 0
D. –2 < n ≤ –1
E. –2 < n < –1
01 May 2026, 01:53
Kudos
Bookmarks
The function #p denotes the least integer greater than or equal to p.
We are given:
#n = –1
This means:
–1 is the smallest integer ≥ n
Translate this into inequalities:
Combine:
–2 < n ≤ –1
The answer is D.
We are given:
#n = –1
This means:
–1 is the smallest integer ≥ n
Translate this into inequalities:
- Since –1 ≥ n
→ n ≤ –1 - Also, –1 is the least such integer
So n must be greater than –2, otherwise the ceiling would drop to –2.
Combine:
–2 < n ≤ –1
The answer is D.
01 May 2026, 01:58
Kudos
Bookmarks
The function #p denotes the least integer equal to or greater than p. If #n = –1, which of the following must be true?
If #n = –1, then -1 is the least integer equal to or greater than n.
Thus, n can be -1 since, if n = -1, then the least integer greater than or equal to n will be -1.
n cannot be greater than -1 since, if n > -1, then -1 will not be greater than or equal to n.
Also, n must be greater than -2, since if n = -2, the least integer greater than or equal to n will be -2.
So, –2 < n ≤ –1.
A. n = –1
B. –2 ≤ n ≤ –1
C. –1 ≤ n ≤ 0
D. –2 < n ≤ –1
E. –2 < n < –1
Correct answer: D
If #n = –1, then -1 is the least integer equal to or greater than n.
Thus, n can be -1 since, if n = -1, then the least integer greater than or equal to n will be -1.
n cannot be greater than -1 since, if n > -1, then -1 will not be greater than or equal to n.
Also, n must be greater than -2, since if n = -2, the least integer greater than or equal to n will be -2.
So, –2 < n ≤ –1.
A. n = –1
B. –2 ≤ n ≤ –1
C. –1 ≤ n ≤ 0
D. –2 < n ≤ –1
E. –2 < n < –1
Correct answer: D
