If A, B, C are three sets, then A cap (B cup C) is equal to

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1.Set Theory

easy

If $A, B, C$ are three sets, then $A \cap (B \cup C)$ is equal to

A

$(A \cup B) \cap (A - C)$

B

$(A \cap B) \cup (A \cap C)$

C

$(A \cup B) \cup (A \cup C)$

D

None of these

Solution

(b) From Distributive law, $A \cap (B \cup C) = (A \cap B) \cup (A \cap C)$.

Standard 11

Mathematics

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