Statement I The Venn diagram of (A ∪ B) prime and A prime ∩ B prime are same. Statement II The Venn diagram of (A ∩ B) prime and A prime ∪ B prime are different.

Question

Statement I The Venn diagram of (A ∪ B) prime and A prime ∩ B prime are same. Statement II The Venn diagram of (A ∩ B) prime and A prime ∪ B prime are different. (A) Statement I is true (B) Statement II is true (C) Both are true (D) Both are false

Tardigrade Admin · Accepted Answer

Clearly, (A ∪ B) prime and A prime ∩ B prime are same.

Cleary, (A ∩ B) and A prime ∪ B prime are same.

Q. Statement I The Venn diagram of $(A \cup B)^{'}$ and $A^{'} \cap B^{'}$ are same.
Statement II The Venn diagram of $(A \cap B)^{'}$ and $A^{'} \cup B^{'}$ are different.

Statement I is true

Statement II is true

Both are true

Both are false

Clearly, $(A \cup B)^{'}$ and $A^{'} \cap B^{'}$ are same.

Cleary, $(A \cap B)$ and $A^{'} \cup B^{'}$ are same.

Q. Statement I The Venn diagram of (A∪B)′ and A′∩B′ are same. Statement II The Venn diagram of (A∩B)′ and A′∪B′ are different.