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Download now on Google Play**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**: \(A \cap (B \cup C)\)

**R.H.S**: \((A \cap B)\) \(\cup\) \((A \cap C)\)

**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**.