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

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(A) The difference of two sets $A$ and $B$,denoted by $A - B$,is defined as the set of all elements that are in $A$ but not in $B$.Mathematically,$A -

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$A \cap B^c$

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(A) The difference of two sets $A$ and $B$,denoted by $A - B$,is defined as the set of all elements that are in $A$ but not in $B$.Mathematically,$A - B = \{x : x \in A 	ext{ and } x 
otin B\}$.Since $x 
otin B$ is equivalent to $x \in B^c$ (where $B^c$ is the complement of $B$ with respect to the universal set $U$),we can write $A - B = \{x : x \in A 	ext{ and } x \in B^c\}$.Therefore,$A - B = A \cap B^c$.

Let $A$ and $B$ be two sets in a universal set $U$. Then $A - B$ is equal to:

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