Respuesta :

Answer:

The set A' is defined as [tex]A'=\{1,5,7,11,17,19,21\}[/tex].

Step-by-step explanation:

The universal set is

[tex]U=\{1,3,5,7,9,11,13,15,17,19,21\}[/tex]

Set A is given,

[tex]A=\{3,9,13,15\}[/tex]

A' means the set of all elements of universal set except the elements of set A.

[tex]A'=U-A[/tex]

[tex]A'=\{1,3,5,7,9,11,13,15,17,19,21\}-\{3,9,13,15\}[/tex]

[tex]A'=\{1,5,7,11,17,19,21\}[/tex]

Therefore the set A' is defined as [tex]A'=\{1,5,7,11,17,19,21\}[/tex].