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Solve ||x-1|-5|lt=2...

Solve `||x-1|-5|lt=2`

Text Solution

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`|| x-1|-2 | lt 5 `
`rArr -5 lt |x-1| lt 5`
`rArr -3 lt |x-1 | lt 7 `
`0 le | x -1 | lt 7 `
`rArr -7 lt x -1 lt 7`
`rArr -6 lt x lt 8 `
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