Advertisements
Advertisements
प्रश्न
Observe the given Venn diagram and write the following sets.
- A
- B
- A ∪ B
- U
- A'
- B'
- (A ∪ B)'
उत्तर
- A = {m, n, x, y, z}
- B = {m, n, p, q, r}
- A ∪ B = {m, n, x, y, z, p, q, r}
- U = {m, n, s, x, t, y, z, p, q, r}
- A' = {s, t, p, q, r}
- B' = {x, s, t, y, z}
- (A ∪ B)' = {s, t}
APPEARS IN
संबंधित प्रश्न
Find the union of the following pairs of sets:
X = {1, 3, 5} Y = {1, 2, 3}
If A and B are two sets such that A ⊂ B, then what is A ∪ B?
Is it true that for any sets A and B, P (A) ∪ P (B) = P (A ∪ B)? Justify your answer.
Show that for any sets A and B, A = (A ∩ B) ∪ (A – B) and A ∪ (B – A) = (A ∪ B)
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A \cap \left( B - C \right) = \left( A \cap B \right) - \left( A \cap C \right)\]
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A - \left( B \cup C \right) = A\left( A - B \right) \cap \left( A - C \right)\]
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find
A ∪ C
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)
If X and Y are two sets and X′ denotes the complement of X, then X ∩ (X ∪ Y)′ is equal to ______.
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 5}, B = {2, 4, 6, 7} and C = {2, 3, 4, 8}. Then (B ∪ C)′ is ______.