1.

Solve the following equations (where [*] denotes greatest integer function and {*} represent fractional part function and sgn represents signum function) (i) [x]+|x-2| le 0 and x in [-1,3] (ii) [2x]-2x=[x+1] (iii) [x^(2)]+2[x]=3x, 0 le x le 2

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ANSWER :`(i)` no solution `(II)-1,-(1)/(2)` `(iii) 0,1`


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