Question

Let

U = {q, r, s, t, u, v, w, x, y, z)
A = {q, s, u, w, y)
B = {q, s, y, z)
C = {v, w, x, y, z).
List the members of the indicated set, using set braces.
a) B'

Answer 1

B' = {r, t, u, v, w, x}

Explanation:

In set theory, the symbol U is commonly used to represent the universal set. It encompasses all possible elements, and is the largest set from which all other subsets are derived.

In set theory, the symbol B' represents the complement of set B.

The complement of a set refers to all the elements that are not in the set, but are part of the universal set. Therefore, to find B', we simply subtract set B from set U.

`\begin{aligned}\sf B'&=\sf U-B\\&=\sf \{q, r, s, t, u, v, w, x, y, z\}- \{q, s, y, z\}\\&=\sf \{r, t, u, v, w, x\}\end{aligned}`

Therefore, the members of set B' are {r, t, u, v, w, x}.