Question

Q5) If M = (x:x € N, x ≤ 10), A = {1,2,3,5), B = {2,4,6,7) and C= {2,3,4,8), (i) Write M in Roster form. (ii) Draw a suitable Venn Diagram to represent M, A, B and C. (iii) Find A U B, A, B/. (iv) Prove that (AUB) = A/n B/.​

Answer 1

Let \(A\) and \(B\) be subsets of some universal set \(U\). The intersection of \(A\) and \(B\), written \(A \cap B\) and read “\(A\) intersect \(B\),” is the set of all elements that are in both \(A\) and \(B\). That is,\[A \cap B = \{x \in U \, | \, x \in A \text{ and } x \in B\}.\]The union of \(A\) and \(B\), written \(A \cup B\) and read “\(A\) union \(B\),” is the set of all elements that are in \(A\) or in \(B\). That is,\[A \cup B = \{x \in U \, | \, x \in A \text{ or } x \in B\}.\]

Answer 2

Answer:

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