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Solve |x-3|+|x-2|=1....

Solve `|x-3|+|x-2|=1.`

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`|x-3|=|x-2|=1`
`implies |x-3|+|x-2|=(3-x)+(x-2)`
`implies x-3 le 0 " and " x-2 ge 0`
`implies x le 3 " and " x ge 2`
`implies 2 le x le 3`
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