English

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find B ∪ C ∪ D

Advertisements
Advertisements

Question

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find

B ∪ C ∪ D

Sum
Advertisements

Solution

Here, A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}

B ∪ C ∪ D = {3, 4, 5, 6} ∪ {5, 6, 7, 8} ∪ {7, 8, 9, 10}

B ∪ C ∪ D = {3, 4, 5, 6, 7, 8} ∪ {7, 8, 9, 10} 

B ∪ C ∪ D = {3, 4, 5, 6, 7, 8, 9, 10}

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - EXERCISE 1.4 [Page 17]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 1 Sets
EXERCISE 1.4 | Q 4. (vii) | Page 17

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

What universal set (s) would you propose for the following:

The set of right triangles.


What universal set (s) would you propose for the following:

The set of isosceles triangles.


Given the sets, A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, the following may be considered as universal set (s) for all the three sets A, B and C?

Φ


Given the sets, A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, the following may be considered as universal set (s) for all the three sets A, B and C?

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}


If U = {2, 3, 5, 7, 9} is the universal set and A = {3, 7}, B = {2, 5, 7, 9}, then prove that: 

\[\left( A \cup B \right)' = A' \cap B'\] 


If U = {2, 3, 5, 7, 9} is the universal set and A = {3, 7}, B = {2, 5, 7, 9}, then prove that:

\[\left( A \cap B \right)' = A'B' .\]

 


For any two sets A and B, prove that A ⊂ B ⇒ A ∩ B = A 


For any two sets A and B, show that the following statements are equivalent:

(i) \[A \subset B\] 

(ii) \[A \subset B\]=ϕ 

(iii) \[A \cup B = B\]

(iv) \[A \cap B = A .\] 


For three sets A, B and C, show that \[A \cap B = A \cap C\]


If A and B are sets, then prove that  \[A - B, A \cap B \text{ and } B - A\] are pair wise disjoint. 


For any two sets of A and B, prove that: 

\[B' \subset A' \Rightarrow A \subset B\]


For any two sets A and B, prove the following: 

\[A - \left( A - B \right) = A \cap B\]


For any two sets A and B, prove the following: 

\[A \cap \left( A \cup B \right)' = \phi\] 


For any two sets A and B, prove the following:

\[A - B = A \Delta\left( A \cap B \right)\]


A survey shows that 76% of the Indians like oranges, whereas 62% like bananas. What percentage of the Indians like both oranges and bananas? 


In a group of 950 persons, 750 can speak Hindi and 460 can speak English. Find: how many can speak Hindi only


In a group of 950 persons, 750 can speak Hindi and 460 can speak English. Find: 

how many can speak English only. 


Let A and B be two sets in the same universal set. Then,\[A - B =\]


Let A and B be two sets that \[n \left( A \right) = 16, n \left( B \right) = 14, n \left( A \cup B \right) = 25\] Then, \[n \left( A \cap B \right)\] 


If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find

A ∪ B ∪ C


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 ∪ D


If X and Y are subsets of the universal set U, then show that Y ⊂ X ∪ Y


If A and B are subsets of the universal set U, then show that A ⊂ A ∪ B


If A and B are subsets of the universal set U, then show that A ⊂ B ⇔ A ∪ B = B


If A and B are subsets of the universal set U, then show that (A ∩ B) ⊂ A


A, B and C are subsets of Universal Set U. If A = {2, 4, 6, 8, 12, 20} B = {3, 6, 9, 12, 15}, C = {5, 10, 15, 20} and U is the set of all whole numbers, draw a Venn diagram showing the relation of U, A, B and C.


The set (A ∩ B′)′ ∪ (B ∩ C) is equal to ______.


If A = {1, 3, 5, 7, 9, 11, 13, 15, 17} B = {2, 4, ..., 18} and N the set of natural numbers is the universal set, then A′ ∪ (A ∪ B) ∩ B′) is ______.


Given the sets A = {1, 3, 5}. B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Then the universal set of all the three sets A, B and C can be ______.


For all sets A and B, A – (A ∩ B) is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×