Example 3 - Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}

Example 3 - Chapter 2 Class 11 Relations and Functions - Part 2

Example 3 - Chapter 2 Class 11 Relations and Functions - Part 3

Example 3 - Chapter 2 Class 11 Relations and Functions - Part 4

 

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Example 3 Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}. Find A × (B ∩ C) B ∩ C = {3, 4} ∩ {"4, 5, 6" } = {"4" } A × (B ∩ C) = {"1, 2, 3" } × {"4" } = {"(1, 4), (2, 4), (3, 4)" } ∩ Intersection : Common between two sets Example 3 Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}. Find (ii) (A × B) ∩ (A × C) (A × B) = {"1, 2, 3" } × {"3, 4" } = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)} (A × B) ∩ (A × C) = {(1, 4), (2, 4), (3, 4)} ∩ Intersection : Common between two sets (A × C) = {"1, 2, 3" } × {"4, 5, 6" } = {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)} Example 3 Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}. Find (iii) A × (B ∪ C) B ∪ C = {"3, 4" } ∪ {"4, 5, 6" } = {"3, 4, 5, 6" } A × (B ∪ C) = {"1, 2, 3" } × {"3, 4, 5, 6" } = {(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 3), (3, 4), (3, 5), (3, 6)} ∪ Union: Combination of two sets Example 3 Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}. Find (iv) (A × B) ∪ (A × C) (A × B) = {"1, 2, 3," }, × {"3, 4," }, = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)} (A × B) ∪ (A × C) = {(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 3), (3, 4), (3, 5), (3, 6)} (A × C) = {"1, 2, 3," } × {"4, 5, 6" }, = {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)} ∪ Union: Combination of two sets

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.