Question

For two sets $X\&Y,X-Y=$, $\text{and}Y-X=$

• A. $X-(X\cap Y)$
• B. $X-(X\cup Y)$
• C. $Y-(X\cup Y)$
• D. $Y-(X\cap Y)$

Answer 1

Answer: (A), (D)

$Y-(X\cap Y)$

Given two sets $X\&Y,$
Now, $X-Y$ is the set of all elements of $X$ which are not in $Y.$
$\Rightarrow X-Y=X-(X\cap Y)$
Similarly, $Y-X$ is the set of all elements of $Y$ which are not in $X.$
$\Rightarrow Y-X=Y-(X\cap Y)$