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isResolved: 'false', snapshotText: '', anchorContext: '', anchorText: '', anchorOffset: '0', mergedInto: '', isDeleted: 'false', viewCount: '1997', text: 'The union of two sets $A$ and $B$, denoted $A \\cup B$, is the set of things which are either in $A$ or in $B$ or both.\n\n![illustration of the output of the union operation](https://imgh.us/set_union.svg)\n\nFormally stated, where $C = A \\cup B$\n\n$$x \\in C \\leftrightarrow (x \\in A \\lor x \\in B)$$\n\nThat is, [46m] $x$ is in the union $C$, then either $x$ is in $A$ or $B$ or possibly both.\n\n%%todo: more lengthy explanation for [1r6] level%%\n\n# Examples\n\n - $\\{1,2\\} \\cup \\{2,3\\} = \\{1,2,3\\}$\n - $\\{1,2\\} \\cup \\{8,9\\} = \\{1,2,8,9\\}$\n - $\\{0,2,4,6\\} \\cup \\{3,4,5,6\\} = \\{0,2,3,4,5,6\\}$\n - $\\mathbb{R^-} \\cup \\mathbb{R^+} \\cup \\{0\\} = \\mathbb{R}$ (In other words, the union of the negative reals, the positive reals and zero make up all of the [4bc real numbers].)', metaText: '', isTextLoaded: 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