Question

Which of the following statements is false:
(a) $A-B=A\cap B\text{'}$
(b) $A-B=A-\left(A\cap B\right)$
(c) $A-B=A-B\text{'}$
(d) $A-B=\left(A\cup B\right)-B.$

Answer 1

(c) $A-B=A-B\text{'}$
It includes all those elements of A which do not belongs to complement of B which is equal to A$\cap$B but not equal to
A$-$B .
Therefore, (c) is false .