Sets Operations

Definition: Distribution laws describe how one operation interact with another across parentheses.
Analysis: Here, the 'intersection' operator ( $\cap$ ) is being applied to each set inside the 'union' bracket ( $\cup$ ). This is analogous to $x (y + z) = x y + x z$ in algebra.
Conclusion: This is the Distributive Law (specifically, intersection distributivity over union).
Bonus: Union also distributes over intersection: $A \cup (B \cap C) = (A \cup B) \cap (A \cup C)$ .

This easy difficulty mathematics question is from the chapter sets, relations and functions, covering the topic of sets operations. It appeared in the 2025 exam.

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Sets Operations

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