# Which of the following statements is false:

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">B but not equal to

$A-B$

Therefore, (c) is false .