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Consider the sets ,
MATHEMATICS · Multi-part · CBSE · Mathematics · Sets · Sets
Problem
Consider the sets
U
=
{
x
∈
Z
+
∣
x
≤
10
}
U = \{x \in \mathbb{Z}^+ \mid x \le 10\}
U
=
{
x
∈
Z
+
∣
x
≤
10
}
,
P
=
{
odd numbers less than
10
}
P = \{\text{odd numbers less than } 10\}
P
=
{
odd numbers less than
10
}
, and
Q
=
{
even numbers less than
11
}
Q = \{\text{even numbers less than } 11\}
Q
=
{
even numbers less than
11
}
. (1) -
a
List the sets
P
P
P
and
Q
Q
Q
. (2) -
b
What can be said about sets
P
P
P
and
Q
Q
Q
? (3) -
c
Illustrate sets
P
P
P
and
Q
Q
Q
on a Venn diagram.
Related theory
Operations on Sets
Sets
Disjoint sets
Sets, subsets and intervals
Sets and their representations
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