Given:
The universal set is given as U={b, d, g, m, o, r, u, y}.
The elements of set A is given as A= {b, u, y}.
Required:
The complement of set A.
Step-by-step explanation:
The universal set is given as,
![U=\text{ \textbraceleft b, d, g, m, o, r, u, y \textbraceright}](https://img.qammunity.org/2023/formulas/mathematics/college/6d16hq0b97yxx1h7tnmfj8y6zffn1js8ms.png)
The complement of any set which is a subset of a universal set is obtained by eliminating those elements from the universal set which is present is set A.
Therefore the complement of A is calculated as,
![A^(\prime)\text{ = \textbraceleft d, g, m, o, r \textbraceright }](https://img.qammunity.org/2023/formulas/mathematics/college/2u1lgb5oo7biy6dqss4wypwf7il8t3m4c4.png)
Answer:
Thus the complement of set A is A' = { d, g, m, o, r }.