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COMEDK2024Evening ShiftMathematicsSets and RelationsActual

The shaded region in the Venn diagram represents

Options

  1. AA B
  2. B(A B)^
  3. CA^ B
  4. DA^ B^

Correct answer

D. A^ B^

Step-by-step solution

The Venn diagram shows two sets A and B within a universal set U . The region A B represents the union of sets A and B , which includes all elements that are in A , in B , or in both. The shaded region in the diagram is the area outside both circles A and B . This represents the complement of the union of A and B , denoted as (A B)^ . According to De Morgan's Law, (A B)^ = A^ B^ . Therefore, the shaded region represents A^ B^ . Answer: A^ B^

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