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Solved examples on Venn diagram are discussed here. From the adjoining Venn diagram, find the following sets.
Typology: Exercises
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Examples on Venn Diagram Solved examples on Venn diagram are discussed here. From the adjoining Venn diagram, find the following sets. (i) A (ii) B (iii) ξ (iv) A' (v) B' (vi) C' (vii) C - A (viii) B - C (ix) A - B (x) A ∪ B (xi) B ∪ C (xii) A ∩ C
(xiii) B ∩ C (xiv) (B ∪ C)' (xv) (A ∩ B)' (xvi) (A ∪ B) ∩ C (xvii) A ∩ (B ∩ C) Answers for examples on Venn diagram are given below: (i) A = {1, 3, 4, 5} (ii) B = {4, 5, 6, 2} (iii) ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} (iv) A' = {2, 6, 7, 8, 9, 10} all elements of universal set leaving the elements of set A. (v) B' = {1, 3, 7, 8, 9, 10} all elements of universal set leaving the elements of set B. (vi) C’ = To find
(xi) B ∪ C Here B = {4, 5, 6, 2} C = {1, 5, 6, 7, 10} B ∪ C = {1, 2, 4, 5, 6, 7, 10} (xii) (B ∪ C)' Since, B ∪ C = {1, 2, 4, 5, 6, 7, 10} Therefore, (B ∪ C)' = {3, 8, 9} (xiii) (A ∩ B)' A = {1, 3, 4, 5} B = {4, 5, 6, 2} (A ∩ B) = {4, 5} (A ∩ B)' = {1, 2, 3, 6, 7, 8, 9, 10} (xiv) (A ∪ B) ∩ C A = {1, 2, 3, 4} B = {4, 5, 6, 2} C = {1, 5, 6, 7, 10} A ∪ B= {1, 2, 3, 4, 5, 6} (A ∪ B) ∩ C = {1, 5, 6} (xv) A ∩ (B ∩ C) A = {1, 3, 4, 5} B = {4, 5, 6, 2}
