MATH10120 Midterm: Math10120F14 Spring 2014 Exam1sol copy

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31 Jan 2019
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A = {x|x is a whole number between 2 and 10} B = {x|x is an even whole number bigger than 2 and less than 10}. Solutions: we can write a as {2, 3, 4, 5, 6, 7, 8, 9, 10} and b as {4, 6, 8}. Hence, a and b are not disjoint (recall, two sets are disjoint if their intersection is empty). The false answer is: a and b are disjoint. (2) let a and b be sets such that n(a) = 16, n(b) = 23 and n(a b) = 32. Solutions: using the formula n(a b) = n(a) + n(b) n(a b), we get. Solving for n(a b), we get n(a b) = 7. 32 = 16 + 23 n(a b) (3) let a, b, c be sets in some universe set u . The venn diagram below shows the number of elements in each region of the diagram.

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