Set A consists of the integers from 4 to 12, inclusive, while set B consists of the integers from 6 to 20, inclusive. How many distinct integers do belong to the both sets at the same time? A. 5 B. 7 C. 8 D. 9 E. 10
(B) Set A and set B are overlapping. To determine the number overlapping elements determine the points where the overlapping begins and ends: The sets begin to overlap at 6 and end at 12. There are 12 – (6 – 1) = 7 integers between 6 and 12 inclusive. The correct answer is B. --------- I understand that set A and set B are composed of 5, 6, 7, 8, 9, 10, 11 and 7, 8, 9, 10, 11 ... so on, respectively. So they are supposed to have 5 integers in common (7, 8, 9, 10, 11), aren't they? What do I miss?
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