Question:
Which of the following statements is false:
(a) $A-B=A \cap B^{\prime}$
(b) $A-B=A-(A \cap B)$
(c) $A-B=A-B^{\prime}$
(d) $A-B=(A \cup B)-B$.
Solution:
(c) $A-B=A-B$,
It includes all those elements of A which do not belongs to complement of B which is equal to A
$A-B$
Therefore, (c) is false .
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