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29 Jul 2022, 10:50
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54% (01:35) correct
46%
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29 Jul 2022, 12:48
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Is |n| > 5?
(1) |n+5| = 4:
Not sufficient.
(2) |n + 1| > 0:
Since the absolute value is always more than or equal to 0, then the above statement simply means that |n + 1| ≠ 0, so n ≠ -1. Clearly insufficient to say whether |n| > 5.
(1)+(2) From (2), we got that n ≠ -1, thus we are left only with n = -9, from (1), and thus |n| > 5. Sufficient.
Answer: C.
(1) |n+5| = 4:
- n + 5 = 4 or n + 5 = -4
n = -1 or n = -9.
If n = -1, then |n| < 5 but if n = -9, then |n| > 5.
Not sufficient.
(2) |n + 1| > 0:
Since the absolute value is always more than or equal to 0, then the above statement simply means that |n + 1| ≠ 0, so n ≠ -1. Clearly insufficient to say whether |n| > 5.
(1)+(2) From (2), we got that n ≠ -1, thus we are left only with n = -9, from (1), and thus |n| > 5. Sufficient.
Answer: C.
29 Jul 2022, 13:36
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Bunuel So for any inequality in the form of |n+1| > 0, it is implied that n is not equal to -1
Similarly, for |n+3| > 0, it is implied that n is not equal to -3.
Also, for |n-3| > 0, is it implied that n is not equal to 3?
Similarly, for |n+3| > 0, it is implied that n is not equal to -3.
Also, for |n-3| > 0, is it implied that n is not equal to 3?
