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  4. The set (A ∩ B')' ∪ (B ∩ C ) is equal to

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Q. The set $(A \cap B')' \cup (B \cap C )$ is equal to

Sets

Solution:

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