English
Maharashtra State BoardSSC (English Medium) 9th Standard

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)' - Algebra

Advertisements
Advertisements

Question

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)'
Sum
Advertisements

Solution

  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}
shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - Practice Set 1.4 [Page 16]

APPEARS IN

Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 1 Sets
Practice Set 1.4 | Q (5) | Page 16

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 = {a, e, i, o, u}, B = {a, b, c} 


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 = {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: 

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


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


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 ______.


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)


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


If A and B are two sets, then A ∩ (A ∪ B) equals ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×