Question

Let

A
=
{
0
,
2
,
4
,
6
}
,
B
=
{
1
,
2
,
3
,
4
,
5
}
, and
C
=
{
1
,
3
,
5
,
7
}
. Find
{
x
∣
x
∈
A
or
x
∈
B
}
.

Answer 1

A or in B or in both

Explanation:

The set x ∈ A or x ∈ B is the set of all elements that are either in A or in B or in both. In other words, it is the union of sets A and B.

To find the union of sets A and B, we simply list all the elements that are in either set, without repeating any elements that appear in both sets. Thus, we have:

A ∪ B = {0, 1, 2, 3, 4, 5}

This is the set of all elements that are either in A or in B or in both.