Let A and B be two sets in the universal set. | vedclass

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(A) The difference of two sets $A$ and $B$,denoted by $A - B$,is defined as the set of elements which belong to $A$ but do not belong to $B$.Mathemati

Vedclass · Accepted Answer

$A \cap B^c$

Vedclass · Answer

(A) The difference of two sets $A$ and $B$,denoted by $A - B$,is defined as the set of elements which belong to $A$ but do not belong to $B$.Mathematically,$A - B = \{x : x \in A 	ext{ and } x 
otin B\}$.Since $x 
otin B$ is equivalent to $x \in B^c$,we have $A - B = \{x : x \in A 	ext{ and } x \in B^c\}$.Therefore,$A - B = A \cap B^c$.

Let $A$ and $B$ be two sets in the universal set. Then $A - B$ equals

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