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(D) The set difference $A - B$ is defined as the set of all elements that are in $A$ but not in $B$.Mathematically,this is represented as $A - B = \{x

Vedclass · Accepted Answer

$A - B = A \cap B^c$

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(D) The set difference $A - B$ is defined as the set of all elements that are in $A$ but not in $B$.Mathematically,this is represented as $A - B = \{x : x \in A 	ext{ and } x 
otin B\}$.Since $x 
otin B$ is equivalent to $x \in B^c$,where $B^c$ is the complement of $B$ with respect to $X$,we can write:$A - B = \{x : x \in A 	ext{ and } x \in B^c\}$.This is equivalent to the intersection of $A$ and $B^c$,which is $A \cap B^c$.

Let $A$ and $B$ be subsets of a set $X$. Then,

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