Advertisements
Advertisements
प्रश्न
Observe the given Venn diagram and write the following sets.

- A
- B
- A ∪ B
- U
- A'
- B'
- (A ∪ B)'
Advertisements
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}
Find the union of the following pairs of sets:
A = {x : x is a natural number and multiple of 3}
B = {x : x is a natural number less than 6}
Find the union of the following pairs of sets:
A = {1, 2, 3}, B = Φ
Let A = {a, b}, B = {a, b, c}. Is A ⊂ B? What is A ∪ B?
If A and B are two sets such that A ⊂ B, then what is A ∪ B?
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find
A ∪ B
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A \cap \left( B \cup C \right) = \left( A \cap B \right) \cup \left( A \cap C \right)\]
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A - \left( B \cup C \right) = A\left( A - B \right) \cap \left( A - C \right)\]
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A - \left( B \cap C \right) = \left( A - B \right) \cup \left( A - C \right)\]
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A \cap \left( B ∆ C \right) = \left( A \cap B \right) ∆ \left( A \cap C \right)\]
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)
For all sets A and B, A ∪ (B – A) = A ∪ B
For all sets A and B, A – (A – B) = A ∩ B
For all sets A and B, A – (A ∩ B) = A – B
If A and B are two sets, then A ∩ (A ∪ B) equals ______.
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 ______.
