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

A - B

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B- (AUB)

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A-(AUB)

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U-B'-( A∩B)

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Solution

The correct option is D
U-B'-( A∩B)

The region in the figure is only B. B-A is removing the parts common to A and B from B.

This is exactly what we have in the figure, from B, A∩B is removed.

The last option also gives the same. When we subtract $B^{'}$ from 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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