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Subjects
Mathematics State Board
Class 9
Set Language
Properties of Set Operations
10.
Solve using commutative property
Exercise condition:
4
m.
If
\(X\)
\(=\) \(\{\)
\(z\)
:
\(z\)
\(=\)
2
n
, \(n \in \mathbb{N}\) and \(n \le 3\}\),
\(Y\)
\(=\) \(\{\)
\(z\)
:
\(z\)
\(=\)
2
n
, \(n \in \mathbb{N}\) and \(n \le 3\}\), then find the following:
(i)
Commutative property of union of sets
:
\(X\)\(\cup\)\(Y\) \(=\) \(Y\)\(\cup\)\(X\)
\(X\)\(\cap\)\(Y\) \(=\) \(Y\)\(\cap\)\(X\)
\(X\)\(\cup\)(\(Y\)\(\cap\)\(Z\)) \(=\) (\(X\)\(\cup\)\(Y\))\(\cap\)\(Z\)
\(X\)\(\cap\)(\(Y\)\(\cup\)\(Z\)) \(=\) (\(X\)\(\cap\)\(Y\))\(\cup\)\(Z\)
(ii)
\(Y\)
\(\cup\)
\(X\)
\(=\)
\(\{\)\(2\), \(4\)\(\}\)
\(\{\)\(2\), \(4\), \(6\), \(8\)\(\}\)
\(\{\)\(2\), \(4\), \(6\)\(\}\)
\(\{\)\(2\), \(4\)\(\}\)
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