English
Maharashtra State BoardSSC (English Medium) 9th Standard

Observe the Venn diagram and write the given sets U, A, B, A ∪ B, A ∩ B. - Algebra

Advertisements
Advertisements

Question

Observe the Venn diagram and write the given sets U, A, B, A ∪ B, A ∩ B.

Sum
Advertisements

Solution

1) U = {1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13}

2) A = {1, 2, 3, 5, 7}

3) B = {1, 5, 8, 9, 10}

4) A ∪ B = {1, 2, 3, 5, 7, 8, 9, 10}

5) A ∩ B = {1, 5}

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - Problem Set 1 [Page 18]

APPEARS IN

Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 1 Sets
Problem Set 1 | Q (10) | Page 18

RELATED QUESTIONS

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 1 < x ≤ 6}

B = {x : x is a natural number and 6 < x < 10}


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 = {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 identities: 

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


Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:

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


Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:

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


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


Determine whether the following statement is true or false. Justify your answer.

For all sets A and B, (A – B) ∪ (A ∩ B) = A


Determine whether the following statement is true or false. Justify your answer.

For all sets A, B, and C, if A ⊂ B, then A ∩ C ⊂ B ∩ C


Determine whether the following statement is true or false. Justify your answer.

For all sets A, B, and C, if A ⊂ B, then A ∪ C ⊂ B ∪ C


Determine whether the following statement is true or false. Justify your answer.

For all sets A, B, and C, if A ⊂ C and B ⊂ C, then A ∪ B ⊂ C


For all sets A and B, A – (A – B) = A ∩ B


For all sets A and B, A – (A ∩ B) = A – B


For all sets A and B, (A ∪ B) – B = A – B


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 (C – A)′ is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×