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Solve each of the following system of equations in `Rdot` `1lt=|x-2|lt=3`

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Solve each of the following system of equations in `Rdot` `1lt=|x-2|lt=3`
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1)`1<=|x-2|`<br> `|x-2|>=1`
`x-2>=1`
`x>=3,x<=1`<br> `x in(-oo,1]uu[3,oo)`
2)`|x-2|<=3`<br> `|x-2|<=3`<br> `-3<=x-2<=3`<br> `-1<=x<=5`<br> `x in[-1,5]`
`x in [-1,1]uu[3,5]`.
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