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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

Observe the given Venn diagram and write the following sets. (i) A (ii) B (iii) A ∪ B (iv) U (v) A' (vi) B' (vii) (A ∪ B)'

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प्रश्न

Observe the given Venn diagram and write the following sets.

  1. A
  2. B
  3. A ∪ B
  4. U
  5. A'
  6. B'
  7. (A ∪ B)'
बेरीज
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उत्तर

  1. A = {m, n, x, y, z}
  2. B = {m, n, p, q, r}
  3. A ∪ B = {m, n, x, y, z, p, q, r}
  4. U = {m, n, s, x, t, y, z, p, q, r}
  5. A' = {s, t, p, q, r}
  6. B' = {x, s, t, y, z}
  7. (A ∪ B)' = {s, t}
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पाठ 1: Sets - Practice Set 1.4 [पृष्ठ १६]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 1 Sets
Practice Set 1.4 | Q (5) | पृष्ठ १६

संबंधित प्रश्‍न

Find the union of the following pairs of sets:

A = {a, e, i, o, u}, B = {a, b, c} 


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


Is it true that for any sets A and B, P (A) ∪ P (B) = P (A ∪ B)? Justify your answer.


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: 

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


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

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


Each set Xr contains 5 elements and each set Yr contains 2 elements and \[\bigcup\limits_{r=1}^{20} X_{r} = S = \bigcup\limits_{r=1}^{n} Y_{r}\] If each element of S belong to exactly 10 of the Xr’s and to exactly 4 of the Yr’s, then n is ______.


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


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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 (B ∪ C)′ is ______.


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