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Solve the following in equalities (i) ...

Solve the following in equalities
`(i) |x+7| gt 5` `(ii) |x+3| lt 10`
`(iii) (x+2) lt |x^(2)+3x+5|``(iv) |(2x-1)/(x-1)| gt 2`
`(v) |x-6| le x^(2)-5x+9` `(vi)(x^(2)-|x|-12)/(x-3) ge 2x`
`(vii) (|x-1|-3)(|x+2|-5) lt 0` `(viii) |x-1|+|x-2|+|x-3| le 6`

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The correct Answer is:
`(i) (-oo,-12)uu(-2,oo)` `(ii) (-13,7)`
`(iii) R` `(iv) ((3)/(4),1)uu(1,oo)`
`(v) (-oo,1]uu[3,00)` `(vi) (-oo,3)`
`(vii) (-7,-2)uu(3,4)` `(viii)[0,4]`
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