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Subjects
Maths TNSB Mentoring
Class 9
Set Language
Properties of set operations
5.
Solve using commutative property
Question:
2
m.
If
\(L\)
\(=\) \(\{\)
\(y\)
:
\(y\)
\(=\)
2
n
, \(n \in \mathbb{N}\) and \(n \le 3\}\),
\(M\)
\(=\) \(\{\)
\(y\)
:
\(y\)
\(=\)
2
n
, \(n \in \mathbb{N}\) and \(n \le 3\}\), then find the following:
(i)
Commutative property of union of sets
:
\(L\)\(\cup\)(\(M\)\(\cap\)\(N\)) \(=\) (\(L\)\(\cup\)\(M\))\(\cap\)\(N\)
\(L\)\(\cap\)(\(M\)\(\cup\)\(N\)) \(=\) (\(L\)\(\cap\)\(M\))\(\cup\)\(N\)
\(L\)\(\cap\)\(M\) \(=\) \(M\)\(\cap\)\(L\)
\(L\)\(\cup\)\(M\) \(=\) \(M\)\(\cup\)\(L\)
(ii)
\(M\)
\(\cup\)
\(L\)
\(=\)
\(\{\)\(2\), \(4\), \(6\), \(8\)\(\}\)
\(\{\)\(2\), \(4\)\(\}\)
\(\{\)\(2\), \(4\), \(6\)\(\}\)
\(\{\)\(2\), \(4\)\(\}\)
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