

InterviewSolution
Saved Bookmarks
1. |
Given L = {1, 2, 3, 4}, M = {3, 4, 5, 6} and N = {1, 3, 5}. Verify that L–(M∪N) = (L–M)∩(L–N). |
Answer» According to the question, L = {1, 2, 3, 4}, M = {3, 4, 5, 6} and N = {1, 3, 5} To verify: L – (M ∪ N) = (L – M) ∩ (L – N) M = {3, 4, 5, 6}, N = {1, 3, 5} ⇒ M ∪ N = {1, 3, 4, 5, 6} L = {1, 2, 3, 4} and M ∪ N = {1, 3, 4, 5, 6} ⇒ L – (M ∪ N) = {2}………………(i) L = {1, 2, 3, 4} and M = {3, 4, 5, 6} ⇒ L – M = {1, 2} L = {1, 2, 3, 4} and N = {1, 3, 5} ⇒ L – N = {2, 4} L – M = {1, 2} and L – N = {2, 4} ⇒ (L – M) ∩ (L – N) = {2}………………(ii) From equations (i) and (ii), We have, L – (M ∪ N) = (L – M) ∩ (L – N) Hence verified |
|