Advertisements
Advertisements
प्रश्न

Observe the Venn diagram and write the given sets U, A, B, A ∪ B, A ∩ B.
Advertisements
उत्तर
U = {1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13}
A = {1, 2, 3, 5, 7}
B = {1, 5, 8, 9, 10}
A ∪ B = {1, 2, 3, 5, 7, 8, 9, 10}
A ∩ B = {1, 5}
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 = {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 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 = {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.
We have to find the smallest set A such that\[A \cup \left\{ 1, 2 \right\} = \left\{ 1, 2, 3, 5, 9 \right\}\]
Observe the given Venn diagram and write the following sets.

- A
- B
- A ∪ B
- U
- A'
- B'
- (A ∪ B)'
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, B, and C, if A ⊂ B, then A ∩ C ⊂ B ∩ C
For all sets A and B, A – (A ∩ B) = A – B
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 ______.
Let S1 = `{x ∈ R - {1, 2}: ((x + 2)(x^2 + 3x + 5))/(-2 + 3x - x^2) ≥ 0}` and S2 = {x ∈ R : 32x – 3x+1 – 3x+2 + 27 ≤ 0}. Then, S1 ∪ S2 is equal to ______.
