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கணிதம்
Class 9
கண மொழி
கண செயலிகளின் பண்புகள்
9.
பரிமாற்றுப் பண்பு I
Exercise condition:
2
m.
\(X\) \(=\) \(\{\)
\(Z\)
:
\(Z\)
\(=\)
2
n
, \(n \in \mathbb{N}\) மற்றும் \(n \le 3\}\), \(Y\) \(=\) \(\{\)
\(Z\)
:
\(Z\)
\(=\)
2
n
, \(n \in \mathbb{N}\) மற்றும் \(n \le 3\}\), கீழ்க்கண்டவற்றை காண்க.
(i) சேர்ப்புக்கான பரிமாற்று பண்
பு
:
X\(\cup\)Y \(=\) Y\(\cup\)X
X\(\cap\)Y \(=\) Y\(\cap\)X
X\(\cap\)(Y\(\cup\)Z) \(=\) (X\(\cap\)Y)\(\cup\)Z
X\(\cup\)(Y\(\cap\)Z) \(=\) (X\(\cup\)Y)\(\cap\)Z
(ii)
\(Y\) \(\cup\) \(X\) \(=\)
\(\{\)\(2\), \(4\)\(\}\)
\(\{\)\(2\), \(4\), \(6\)\(\}\)
\(\{\)\(2\), \(4\)\(\}\)
\(\{\)\(2\), \(4\), \(6\), \(8\)\(\}\)
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