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Mathematics
Mathematics
Problem
Consider the sets
U
=
{
x
∈
Z
+
∣
x
≤
40
}
U = \{x \in \mathbb{Z}^+ \mid x \le 40\}
U
=
{
x
∈
Z
+
∣
x
≤
40
}
,
A
=
{
factors of 40
}
A = \{\text{factors of 40}\}
A
=
{
factors of 40
}
, and
B
=
{
factors of 20
}
B = \{\text{factors of 20}\}
B
=
{
factors of 20
}
. a. List the sets
A
A
A
and
B
B
B
. b. What can be said about sets
A
A
A
and
B
B
B
? c. Illustrate sets
A
A
A
and
B
B
B
on a Venn diagram.
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