Question

Given a pair of sets $A\&B,$ match the following with $A△B.$

• A. $\{3,4\}$
• B. $\{5,8\}$
• C. $\{2,3,4,9\}$
• D. $\{1,6\}$

Answer 1

We know for any two sets $A\&B.$
$A△B=(A-B)\cup (B-A)$
Here, using the same method we can find symmetric differences as:

$\{1,2,3\}△\{2,3,6\}=\left\{1\right\}\cup \left\{6\right\}$
$\Rightarrow \{1,2,3\}△\{2,3,6\}=\{1,6\}$

$\{2,4,6\}△\{3,6,9\}=\{2,4\}\cup \{3,9\}$
$\Rightarrow \{2,4,6\}△\{3,6,9\}=\{2,3,4,9\}$

$\{3,5,6\}△\{3,6,8\}=\left\{5\right\}\cup \left\{8\right\}$
$\Rightarrow \{3,5,6\}△\{3,6,8\}=\{5,8\}$

$\{4,6,9\}△\{3,6,9\}=\left\{4\right\}\cup \left\{3\right\}$
$\Rightarrow \{4,6,9\}△\{3,6,9\}=\{3,4\}$