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### High School Mathematics8.8 Problems on Relations

 Example: If A = {1,3,5}, B = {2,4} and C = {1,2,3,4}, then find A ´ (B È C). Solution: Given that, A = {1,3,5}, B = {2,4} and C = {1,2,3,4} To find A ´ (B È C) first we want to find the value of B È C B È C = {2,4} È {1,2,3,4} = {1,2,3,4} A ´ (B È C) = {1,3,5} ´ {1,2,3,4} = {(1,1),(1,2),(1,3),(1,4),(3,1),(3,2),(3,3),(3,4),(5,1),(5,2),(5,3),(5,4)} Directions: Solve the following problems. Also write at least 5 examples of your own.
 Q 1: If A = {1,3,5}, B = {2,4} and C = {1,2,3} then find the value of A ´ (B Ç C).{(1,2),(3,2),(5,2),(5,3)}{(1,2),(3,2),(5,3)}{(1,2),(3,2),(5,2)}{(1,2),(3,2),(5,2),(2,5)} Q 2: If A = {1,3,5}, B = {2,4} and C = {1,2,3}, then verify (A Ç B) ´ C = (A ´ C) Ç (B ´ C)Not correctCorrect Q 3: If A = {1,2,3,4}, B = {1,3} and C = {1,3}, then verify (A È B) ´ C = (A ´ C) È (B ´ C)CorrectNot correct Q 4: If A = {1,3,5}, B = {2,4} and C = {1,2,3}, then find the value of (A ´ B) È (A ´ C).{(1,1),(1,2),(1,3),(1,4),(3,1),(3,2),(3,3),(3,4),(5,1),(5,2),(5,4)}{(1,1),(1,2),(1,3),(1,4),(3,1),(3,2),(3,3),(3,4),(5,2),(5,3),(5,4)}{(1,1),(1,2),(1,3),(3,1),(3,2),(3,3),(3,4),(5,1),(5,2),(5,3),(5,4)}{(1,1),(1,2),(1,3),(1,4),(3,1),(3,2),(3,3),(3,4),(5,1),(5,2),(5,3),(5,4)} Q 5: If A = {1,2,3}, B = {3,4,5} and C = {4,6}, then find the value of A ´ (B Ç C).{(1,4),(2,4),(3,4)}{(2,4),(3,4),(4,4)}None of these{(1,4),(2,4),(3,4),(4,4)} Q 6: If A = {1,2,3,4}, B = {1,3,5} and C = {5,6}, then find the value of (A ´ B) Ç (A ´ C){(2,5),(3,5),(4,5),(5,5)}{(1,5),(2,5),(3,5),(4,5)}{(1,5),(2,5),(3,5)}{(1,5),(2,5),(3,5),(4,5),(5,5)} Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!