Question

A and B are two sets such that n(A)=3 and n(B)=6. find minimum value of n(A U B) and maximum value of n(AUB)

Answer 1

Answer:

The minimum value of n(A∪B)=6,The maximum value of n(AUB)=9

Step-by-step explanation:

If two sets are disjoint then maximum value of n(A∪B)=n(A)+n(B)

If one set(A) is subset of another set(B) then minimum value of n(A∪B)=n(B)

consider a set with 3 elements

A={1,2,3}

and also consider a set with 6 elements

B={a,b,c,d,e,f}

HERE 'A' IS NOT A SUBSET OF 'B'

than the maximum value of n(A U B)={1,2,3,a,b,c,d,e,f,}=9

then replace 'B' by B={1,2,3,4,5,6}

HERE 'A' IS THE SUBSET OF 'B'

then minimum value of n(A U B)={1,2,3,4,5,6 }=6

Answer 2

Answer:

1) answer 9

2) answer 6

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