Question

What Is the formula of $A$ Delta $B$?

Answer 1

Write the formula of $A$ Delta $B$.

$A$ Delta $B$ in mathematical terms can be represented by $A∆B$.

For any two sets $A$ and $B$,

$A∆B=\left(B-A\right)\cup \left(A-B\right)$

Can also be written as:

$A∆B=\left(A\cup B\right)-\left(A\cap B\right)$

Where the symbol $\text{'}∆\text{'}$ represents the symmetric difference of two sets $A$ and $B$.

The Venn diagram of $A∆B$ is shown below:

Where$A∆B$ is represented by the shaded region.

Hence, the formula for $A∆B$ is $\left(B-A\right)\cup \left(A-B\right)$ or $\left(A\cup B\right)-\left(A\cap B\right)$.