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  4. If we draw the Venn diagram of A ∩(B ∪ C) and (A ∩ B) ∪(A ∩ C), we find that the set A ∩(B ∪ C) and (A ∩ B) ∪(A ∩ C) are

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Q. If we draw the Venn diagram of $A \cap(B \cup C)$ and $(A \cap B) \cup(A \cap C)$, we find that the set $A \cap(B \cup C)$ and $(A \cap B) \cup(A \cap C)$ are

Sets

Solution:

image
image
From the above diagrams, we observe that
$A \cap(B \cup C)=(A \cap B) \cup(A \cap C)$