Question

Given that the sets A= {f, a, c, e} and B= {e, g, d, f} are subsets of Universal Set U = {a, b, c, d, e, f, g}, list the elements of:
1) A' ∩ B'
2) U∪Ф
3) U ∩ Ф

Answer 1

Answer:

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Question

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Q) Given that the sets A = {f , a , c , e} and B = {e , g , d , f } are subsets of Universal set U = { a , b , c , d , e , f , g }

List the elements of :

A'

B'

( A ∩ B )

Answer✓

★ Concept :

• Set - A collection of well defined and distinct objects .

• Complement of set : It is the set of all the elements present in Universal set except the element present in that set .

• Intersection of sets : In intersection , we take all the common elements that belong to both the sets .

★ We have :

A = { f , a , c , e }

B = { e , g , d , f }

U = { a , b , c , d , e , f , g }

★ To Find :

A'

B'

(A ∩ B)

★ Solution :

1st ) A'

A' = all the elements of U except those of A

A' = { b , d , g }

2nd ) B'

B' = all the elements of U except those of B

B' = { a , b , c }

3rd )

A ∩ B = All the common elements of A and B

{AB}A∩B = { e , f }

So , this is the required answer !