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13 May 2021, 07:15
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E
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Difficulty:
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83% (00:56) correct
17%
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based on 384
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How many different integer solutions are there for the inequality |n-17|≤3 ?
A 0
B 2
C 5
D 6
E 7
A 0
B 2
C 5
D 6
E 7
13 May 2021, 07:31
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Bunuel
-3 <= n-17 <= 3
14 <= n < = 21
there are 7 integers including 14 and 21 for which above equation is true
Answer is E IMO
13 May 2021, 07:35
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|n-17|≤3
Looking at just n-17. Which values will give me 3 and -3, as we are working absolutes and 3 is the maximum solution.
n-17=3 and n-17=-3
n=20 and n =14
20-14+1=7
Answer E
Looking at just n-17. Which values will give me 3 and -3, as we are working absolutes and 3 is the maximum solution.
n-17=3 and n-17=-3
n=20 and n =14
20-14+1=7
Answer E
