Which of the following statement is false (where $A$ $\&$ $B$ are two non empty sets)

  • A

    $A - B = A \cap B'$

  • B

    $A - B = A - (A \cap B)$

  • C

    $A - B = A - B'$

  • D

    $A - B = (A \cup B) - B$

Similar Questions

If $U =\{1,2,3,4,5,6,7,8,9\}, A =\{2,4,6,8\}$ and $B =\{2,3,5,7\} .$ Verify that

$(A \cup B)^{\prime}=A^{\prime} \cap B^{\prime}$

Let $U=\{1,2,3,4,5,6,7,8,9\}, A=\{1,2,3,4\}, B=\{2,4,6,8\}$ and $C=\{3,4,5,6\} .$ Find

$(B-C)^{\prime}$

Taking the set of natural numbers as the universal set, write down the complements of the following sets:

$\{ x:x \in N$ and $2x + 1\, > \,10\} $

Taking the set of natural numbers as the universal set, write down the complements of the following sets:

$\{ x:x\, \ge \,7\} $

Fill in the blanks to make each of the following a true statement :

$\varnothing^ {\prime}\cap A$