Solve ||x-2|-3|lt 5...

Solve `||x-2|-3|lt 5 `

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Verified by Experts

The correct Answer is:

`-6 lt x lt 10 `

`||x-2|-3|lt 5`
or `-5 lt |x-2|-3 lt 5 `
`-2 lt |x-2| lt 8`
or `-8 lt x -2 lt 8`
`or -6 lt x lt 10 `

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CENGAGE-SET THEORY AND REAL NUMBER SYSTEM -Exercise 1.5

If |x^2-7|le 9 then find the values of x
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Solve ||x-2|-3|lt 5
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