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snapshotText: '', anchorContext: '', anchorText: '', anchorOffset: '0', mergedInto: '', isDeleted: 'false', viewCount: '29', text: 'The relative complement of two sets $A$ and $B$, denoted $A \\setminus B$, is the set of elements that are in $A$ while not in $B$.\n\n![illustration of the output of a relative complement](https://imgh.us/set_relative_complement.svg)\n\nFormally stated, where $C = A \\setminus B$\n\n$$x \\in C \\leftrightarrow (x \\in A \\land x \\notin B)$$\n\nThat is, [46m] $x$ is in the relative complement $C$, then $x$ is in $A$ and x is not in $B$.\n\nFor example,\n\n - $\\{1,2,3\\} \\setminus \\{2\\} = \\{1,3\\}$\n - $\\{1,2,3\\} \\setminus \\{9\\} = \\{1,2,3\\}$\n - $\\{1,2\\} \\setminus \\{1,2,3,4\\} = \\{\\}$\n\nIf we name the set $U$ as the set of all things, then we can define the [5s7 Absolute complement] of the set $A$, $A^\\complement$, as $U \\setminus A$ ', metaText: '', isTextLoaded: 'true', isSubscribedToDiscussion: 'false', isSubscribedToUser: 'false', 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