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Consider the following:
1.$A \cup(B \cap C)=(A \cap B) \cup(A \cap C)$
2.$\quad A \cap(B \cup C)=(A \cup B) \cap(A \cup C)$
Which of the above is/are correct?
Options:
1.$A \cup(B \cap C)=(A \cap B) \cup(A \cap C)$
2.$\quad A \cap(B \cup C)=(A \cup B) \cap(A \cup C)$
Which of the above is/are correct?
Solution:
2729 Upvotes
Verified Answer
The correct answer is:
Neither 1 nor 2
According to 'Distribution law in set theorry the given
both statements are wrong. 1.A $\cup(\mathrm{B} \cap \mathrm{C})=(\mathrm{A} \cup \mathrm{B}) \cap(\mathrm{A} \cup \mathrm{C})$
2. A\cap(B\cupC) $=(A \cap B) \cup(A \cap C)$
both statements are wrong. 1.A $\cup(\mathrm{B} \cap \mathrm{C})=(\mathrm{A} \cup \mathrm{B}) \cap(\mathrm{A} \cup \mathrm{C})$
2. A\cap(B\cupC) $=(A \cap B) \cup(A \cap C)$
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