Question

Let U be the set of all books, N the set of all novels, and H be the set of all hardcover books. Describe, in words, the following sets:

Answer 1

Given:

U be the set of all books, N the set of all novels, and H be the set of all hardcover books.

To find:

The description for the sets $N\cap H$ and $H'$ in words.

Solution:

We have,

U = The set of all books

N = The set of all novels

H = The set of all hardcover books.

We know that $N\cap H$ means common elements of set N and set H.

Therefore, $N\cap H$ is set of all books that are both novels and hardcover books.

We know that $H'$ is the set of elements of universal set except the elements of set H.

Therefore, $H'$ is the set of all books that are not hardcover books.