Question

From the following Venn diagram,
write the elements of sets A and B. And verify (AUB)+n(A N B)=n(A)+n(B)

REFER ATTACHMENT ​

Answer 1

Answer:

Step-by-step explanation:

Set A=c,f,a,d,h

Set B=a,d,h

(AuB)=c,f,a,d,h,b,e,g

(AnB)=a,d,h

Answer 2

Given : Venn diagram,

To find : Write elements of sets A and B.

verify n (AUB)+n(A ∩ B)=n(A)+n(B)

Solution:

A = { a , c , d , f , h }

⇒ n(A) = 5

B = { a , b , d , e ,  g ,h }

⇒ n(B) = 6

A ∪ B = { a , b , c , d , e , f , g , h }

⇒ n(A ∪ B ) =  8

A ∩ B = { a ,  d ,   h }

⇒ n(A ∩ B )=  3

n(A ∪ B )  + n(A ∩ B ) = 8 + 3 = 11

n(A)  +  n(B)   = 5 + 6 = 11

⇒   n(A ∪ B )  + n(A ∩ B ) =  n(A)  +  n(B)  = 11

Hence Verified

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