Identify the shaded region in the figure, where $A$ and $B$ are two sets represented by the circles and $U$ is the universal set, which is represented by the rectangle.

$B - A$

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$B - (A \cup B)$

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$A - (A \cup B)$

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U - B^{'} - (A \cap B)

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Solution

The correct options are
A
$B - A$

D $U - B^{'} - (A \cap B)$
The region in the figure consists of the elements of B alone.
$B - A$ is the set of all elements of $B,$ but not of $A .$

This is exactly what we have in the figure where $A \cap B$ is removed from $B .$

The last option also gives the same set. When we subtract $B^{'}$ from the universal set $U,$ we get $B .$

So the expression $U - B^{'} - (A \cap B)$ becomes $B - (A \cap B) .$ This is same as $B - A .$

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Identify the shaded region in the figure, where A and B are two sets represented by the circles and U is the universal set, which is represented by the rectangle.

Identify the shaded region in the figure, where $A$ and $B$ are two sets represented by the circles and $U$ is the universal set, which is represented by the rectangle.