Question

let u be the universal set u = {1,2,3,…,18,19,20}. let sets a and b be subsets of u, defined as: a = {5,10,12,15,17,20} b = {2,8,11,12,14,15,16} (a) list the elements in the set a ∪ b. a ∪ b = { enter your answer } (b) list the elements in the set a ∩ b. a ∩ b = { enter your answer }

Explanation:

Step1: Find the union of sets A and B

The union of two sets \(A\) and \(B\), denoted \(A\cup B\), is the set of all elements that are in \(A\), in \(B\), or in both.

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Step2: Find the intersection of sets A and B

The intersection of two sets \(A\) and \(B\), denoted \(A\cap B\), is the set of all elements that are common to both \(A\) and \(B\).

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Answer:

(a) \(A\cup B = \{2,5,8,10,11,12,14,15,16,17,20\}\)
(b) \(A\cap B=\{12,15\}\)