Question

Which one of the following is not true?

• A. $A\setminus B=A\cap B^{\prime }$
• B. $A\setminus B=A\cap B$
• C. $A\setminus B=(A\cup B)\cap B^{\prime }$
• D. $A\setminus B=(A\cup B)\setminus B$

Answer 1

The correct option is B $A\setminus B=A\cap B$

$A$ \ $B$ contains elements that are in set $A$ and not in set $B$

$A\cap B$ contains elements that are both in $A$ and $B$

Therefore option ($b$) contains the incorrect statement.