IMHemanshi
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

1. A = {1,2} B {3,4,5,6} then n(A)+n(B) = ?
2. The symbol ⇛means____.
3. A = ø, B = ø then AUB =
4. AUB = BUA is called_____law.
5. Cordinal number of Null set is _____.
6. If AUB = then _____.
7. If A = {1,2,3,4}, B = {2,4,6,8}, then A-B =____.
8. If n(AUB) = 8, n(A) = 6, n(B) = 4 then n(A∩B) _____.​

Sagot :

SalmonWorldTopper

Explanation:-

★(i).

A = { 1,2}

⇛ n (A ) = 2

B = { 3,4,5,6}

⇛ n (B) = 4

n(A)+n(B) = 2+4 = 6

★(ii).

The symbol ⇛ means Implies

★(iii).

A = Phi = {}

B = phi = {}

AUB = { } U { } = { }

AUB = phi = { }

(iv).

AUB = BUA is called Commutative law in sets uner union .

★(v).

Null set = Void set = Empty set = { }

Number of elements in the empty set = 0

⇛ Cardinal number of null set is zero (0)

★(vi). If AUB = B then B is the super set and A is the sub set of B

★(vii). A = { 1,2,3,4}

B = {2,4,6,8}

A-B = {1,2,3,4} - { 2,4,6,8}

=> A-B = { 1,3}

★(viii). n(AUB) = 8

n(A) = 6

n(B) = 4

We know that

n(AnB) = n(A)+n(B)-n(AUB)

⇛ n(AnB) = 6+4-8

⇛n(AnB) = 10-8

⇛ n(AnB) = 2

or n(AUB)+n(AnB) = n(A)+n(B)

⇛ 8+ n(AnB) = 6+4

⇛ 8+ n(AnB) =10

⇛ n(AnB) = 10-8

⇛ n(AnB) = 2

Therefore, n(AnB) = 2

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.