Question

Q2: Given that the sets A = {f, a, c, e) and B={e, g, d, f) are subsets of the Universal Set U = (a, b, c, d, e,
f, g), list the elements of:
(1) A'
(2) B'
(3) (AnB)​

Answer 1

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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 :

1. A'
2. B'
3. ( A $\cap$ B )

${\huge{\underline{\underline{\rm{Answer\checkmark}}}}}$

★ 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 :

1. A'
2. B'
3. (A $\cap$ 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 ) [tex]\bold{A\;{\cap}\;B}[/tex]

A $\cap$ B = All the common elements of A and B

$\bold{A\;{\cap}\;B}$ = { e , f }

So , this is the required answer !