Question

If $X=\{a,b,c,d\}$ and $Y=\{f,b,d,g\}$
$\left(i\right)X-Y$
$\left(ii\right)Y-X$
$\left(iii\right)X\cap Y$

Answer 1

Given $X=\{a,b,c,d\}$ and $Y=\{f,b,d,g\}$
$\therefore X-Y=\{a,b,c,d\}-\{f,b,d,g\}=\{a,c\}$
Hence, $X-Y=\{a,c\}$

$\therefore Y-X=\{f,b,d,g\}-\{a,b,c,d\}=\{f,g\}$
Hence, $Y-X=\{f,g\}$

$\therefore X\cap Y=\{a,b,c,d\}\cap \{f,b,d,g\}=\{b,d\}$
Hence, $X\cap Y=\{b,d\}$