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Find the solution set of the inequation `|2x-3|gt1`.

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Find the solution set of the inequation `|2x-3|gt1`.
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Correct Answer - `(-oo,1)uu(2,oo)`
Using`|x|gtaiff x lt-aorxgta`, we get
`|2x-3|gt1rArr2x-3lt-1 or 2x-3gt1`
`rArrxlt1 orxlt2rArrx in(-oo,1)uu(2,oo)`.
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