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Solve: |3x-7|gt4,x in R...

Solve:
`|3x-7|gt4,x in R`

Text Solution

Verified by Experts

The correct Answer is:
`(-oo,1)uu((11)/(3),oo)`
`"Using" |x|gta rArr x lt -aorxgta`, we get
`|3x-7|gt4 rArr 3x -7lt-4or 3x-7gt4`
`rArr3xlt3 or 3xgt11 rArrxlt1orxgt(11)/(3)`
`rArrx in(-oo,1)uu((11)/(3),oo)`.
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