Question

Draw Venn diagram of (A U B)' intersection c

Answer 1

Given:

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

To Find:

Venn diagram of $(A \cup B)' \cap C$.

Solution:

Using De-Morgan's law we get,

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

Now,

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

Now let U be the universal set, hence,

$(A' \cap B')\cap C <=> (U - (A \cup B)) \cap C <=> C$

∴The venn diagram is attached below,