Verification of properties using Venn diagram — lesson. Mathematics State Board, Class 9.

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Verification of distributive property of intersection over union using Venn diagram.

Distributive property of intersection over union:

$A \cap (B \cup C)$

$=$

$(A \cap B)$

$\cup$

$(A \cap C)$

L.H.S:

$A \cap (B \cup C)$

LHS_AN(BUC)_new.svg

R.H.S:

$(A \cap B)$

$\cup$

$(A \cap C)$

RHS_(ANB)U(ANC).svg

Therefore, the distributive property of intersection over union(

$A \cap (B \cup C)$

$=$

$(A \cap B)$

$\cup$

$(A \cap C)$ ) of three sets

$A$ ,

$B$ and

$C$ is proved using Venn diagram.

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