Question

# Find $A\Delta B$ and draw Venn diagram when:$A = \left\{ {a,b,c,d,e} \right\}$ and $B = \left\{ {a,c,e,g} \right\}$

Hint: In this particular question find the elements that are not common to the set A and B because $A\Delta B$ is a set of all elements which are not in both sets (i.e. uncommon elements).
So, $A\Delta B = \left\{ {b,d,g} \right\}$
Because $A\Delta B$ is the set of all elements that are not present in all sets.
Hence, $A\Delta B = \left\{ {b,d,g} \right\}$.
Note: Whenever we face such types of questions the key concept recall is that if there are two sets X and Y then $X\Delta Y$ will be set having elements that are not present in both the sets X and Y. So, we can directly find the value of $X\Delta Y$ by applying the formula that is $X\Delta Y = \left( {X \cup Y} \right) - \left( {X \cap Y} \right)$, where $\left( {X \cup Y} \right)$ will be the set of all elements of set X and Y. While $\left( {X \cap Y} \right)$ will be the set of common elements of set X and Y. This will be the easiest and efficient way to find the solution to the problem if the Venn’s diagram is not asked to draw.