Set, Relations and FunctionsPYQ Jun 22Question 1897 of 136
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If the universal set E={xx is a positive integer <25}\displaystyle E = \{x \mid x \text{ is a positive integer } < 25\}, A={2,6,8,14,22}\displaystyle A = \{2, 6, 8, 14, 22\}, B={4,8,10,14}\displaystyle B = \{4, 8, 10, 14\}

Options

A(AB)c=AcBc\displaystyle (A \cap B)^c = A^c \cup B^c
B(AB)c=AcBc\displaystyle (A \cap B)^c = A^c \cap B^c
C(AB)c=ϕ\displaystyle (A - B)^c = \phi
DNone of these
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Correct Answer

Option a(AB)c=AcBc\displaystyle (A \cap B)^c = A^c \cup B^c

All Options:

  • A(AB)c=AcBc\displaystyle (A \cap B)^c = A^c \cup B^c
  • B(AB)c=AcBc\displaystyle (A \cap B)^c = A^c \cap B^c
  • C(AB)c=ϕ\displaystyle (A - B)^c = \phi
  • DNone of these

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