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Last updated at Jan. 27, 2020 by Teachoo

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Ex 1.5, 4 If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {2, 4, 6, 8} and B = {2, 3, 5, 7} , verify that (i) (A ∪ B)’ = A’∩ B’ A ∪ B = {2, 4, 6, 8} ∪ {2, 3, 5, 7} = {2, 3, 4, 5, 6, 7, 8} (A ∪ B)’ = U – (A ∪ B) = {1, 2, 3, 4, 5, 6, 7, 8, 9} – {2, 3, 4, 5, 6, 7, 8} = {1, 9} A’ = U – A = {1, 2, 3, 4, 5, 6, 7, 8, 9} – {2, 4, 6, 8} = {1, 3, 5, 7, 9} B’ = U – B = {1, 2, 3, 4, 5, 6, 7, 8, 9} – {2, 3, 5, 7} = {1, 4, 6, 8, 9} A’ ∩ B’ = {1, 3, 5, 7, 9} ∩ {1, 4, 6, 8, 9} = {1, 9} ∩ Intersection – Common of two sets ∪ Union - Combination of two sets Thus, (A ∪ B)’ = A’ ∩ B’ Hence Verified Ex 1.5, 4 If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {2, 4, 6, 8} and B = {2, 3, 5, 7} , verify that (ii) (A ∩ B)’ = A’ ∪ B’ A ∩ B = {2, 4, 6, 8} ∩ {2, 3, 5, 7} = {2} (A ∩ B)’ = U – (A ∩ B) = {1, 2, 3, 4, 5, 6, 7, 8, 9} – {2} = {1, 3, 4, 5, 6, 7, 8, 9} ∩ Intersection – Common of two sets ∪ Union - Combination of two sets A’ = U – A = {1, 2, 3, 4, 5, 6, 7, 8, 9} – {2, 4, 6, 8} = {1, 3, 5, 7, 9} B’ = U – B = {1, 2, 3, 4, 5, 6, 7, 8, 9} – {2, 3, 5, 7} = {1, 4, 6, 8, 9} A’ ∪ B’ = {1, 3, 5, 7, 9} ∪ {1, 4, 6, 8, 9} = {1, 3, 4, 5, 6, 7, 8, 9} Thus, (A ∩ B)’ = A’ ∪ B’ Hence Veraified

Ex 1.5

Ex 1.5, 1
Important
Not in Syllabus - CBSE Exams 2021

Ex 1.5, 2 Not in Syllabus - CBSE Exams 2021

Ex 1.5, 3 Important Not in Syllabus - CBSE Exams 2021

Ex 1.5, 4 Important Not in Syllabus - CBSE Exams 2021 You are here

Ex 1.5, 5 Important Not in Syllabus - CBSE Exams 2021

Ex 1.5, 6 Not in Syllabus - CBSE Exams 2021

Ex 1.5, 7 Important Not in Syllabus - CBSE Exams 2021

Chapter 1 Class 11 Sets

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.