Math, asked by DEVIYANSHDUBEY, 8 days ago

600000 points observe question and give proper answer and take 600000 points​

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Answered by Anonymous
7

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,

\implies \boxed{ \bf{n(A) + n(B) = n(A \cap B) + n(A \cup B)}}\\

Now, substituting all the given values in the formula, we get:

\implies \rm{15 + n(B) = 7 + 29}

\implies \rm{15 + n(B) = 7 + 29}

\implies \rm{29 = 15 + n(B) - 7}

\implies \rm{29 = n(B) + 8}

\implies \rm{n(B) = 29 - 8}

\implies \boxed{\bf{n(B) = 21}}

Hence, the value of n(B) is 21.

\rule{90mm}{2pt}

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)
Answered by jaswasri2006
2

REFER THE ABOVE ATTACHMENT FOR THE EXPLANATION

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