600000 points observe question and give proper answer and take 600000 points
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Sets
A well defined collection of objects is known as a Set. Sets can be represented by, Roster form and Set-builder form.
We are given that, n(A) = 15, n(A ∪ B) = 29 andn(A ∩ B) = 7. With this information, we are asked to find out the value of n(B). i.e.
- n(A) = 15
- n(A ∪ B) = 29
- n(A ∩ B) = 7
- n(B) = ?
As we know that,
Now, substituting all the given values in the formula, we get:
Hence, the value of n(B) is 21.
MORE TO KNOW
1. Union.
- The union of two sets which consists of all the elements of A and B. The symbol of union is ∪.
2. Intersection.
- The intersection of two sets consists of all the elements which are common to A and B. The symbol of intersection is ∩.
1. Commutative Laws.
- A ∪ B = B ∪ A
- A ∩ B = B ∩ A
2. Associative Laws.
- (A ∪ B) ∪ C = A ∪ (B ∪ C)
- (A ∩ B) ∩ C = A ∩ (B ∩ C)
3. Distributive Laws.
- A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
- A ∩ (B∪C) = (A ∩ B) ∪ (A ∩ C)
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