Last updated at Dec. 23, 2019 by Teachoo

Transcript

Ex 1.5 , 1 Let U ={1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (i) A A = U A = {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4} = {5,6,7,8,9} Ex 1.5 , 1 Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (ii) B B = U B = {1, 2, 3, 4, 5, 6, 7, 8, 9} {2, 4, 6, 8} = {1,3,5,7,9} Ex 1.5 , 1 (Method 1) Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (A C) A C = {1, 2, 3, 4} {3, 4, 5, 6} = {1,2,3,4,5,6} (A C) = U (A C) = {1, 2, 3, 4, 5, 6, 7, 8, 9} {1,2,3,4,5,6} = {7,8,9} Ex 1.5 , 1 (Method 2) Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (A C) (A C) = A C A = U A = {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4} = { 5,6,7,8,9} C = U C = {1, 2, 3, 4, 5, 6, 7, 8, 9} {3, 4, 5, 6} = { 1,2,7,8,9} (A C) = A C = { 5,6,7,8,9} { 1,2,7,8,9} = {7,8,9} Ex 1.5 , 1(Method 1) Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (A B) A B = {1, 2, 3, 4} {2, 4, 6, 8} = {1,2,3,4,6,8} (A B) = U (A B) = {1, 2, 3, 4, 5, 6, 7, 8, 9} {1,2,3,4,6,8} = {5,7,9} Ex 1.5 , 1 (Method 2) Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (iv) (A B) (A B) = A B A = U A = {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4} = { 5,6,7,8,9} B = U B = {1, 2, 3, 4, 5, 6, 7, 8, 9} {2, 4, 6, 8} = { 1,3,5,7,9} (A B) = A B = { 5,6,7,8,9} { 1,3,5,7,9} = {5,7,9} Ex 1.5 , 1 (Method 1) Let U ={1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (v) (A ) (A ) = A = {1,2,3,4} Ex 1.5 , 1 (Method 2) Let U ={1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (v) (A ) (A ) = U A A = U A = {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4} = {5,6,7,8,9} (A ) = U A = {1, 2, 3, 4, 5, 6, 7, 8, 9} {5,6,7,8,9} = {1, 2, 3, 4} = A Ex 1.5 , 1 Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (vi) (B C) B C = B (B C) B C = {2, 4, 6, 8} {3, 4, 5, 6} = {4, 6} B C = B (B C) = {2, 4, 6, 8} {4, 6} = { 2,8 } (B C) = U (B C) = {1, 2, 3, 4, 5, 6, 7, 8, 9} {2 , 8} = {1,2,3,4,5,6,7,9}

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.