Question

Match the following shaded portions of venn diagram representation of two sets $A,B$.

• A. $(B\cup A^{\prime })$
• B. $(A\cap B{)}^{\prime }$
• C. $(A\cup B{)}^{\prime }$

Answer 1

Given first representation as:

Clearly, the shaded portion represents set whose elements are not in either $A$ or $B.$
$\Rightarrow$ This represents $(A\cup B{)}^{\prime }$

Second representation:

Clearly, this is representaing elements of a set which is not an element of $A$ but belong to $B$.

Third representation:

Here, this is representaing set of elements which are not common in both $A$ and $B$ or $(A\cap B{)}^{\prime }.$