The set of all `x` in the interval `[0,pi]` for which `2sin^2x-3sinx+1geq0` is______

Explanation

`2sinn^2x-3sinx+1>=0`

`2sin^2x-sinx-sinx+1>=0`

`2sinx(sinx-1)-1(sinx-1)>=0`

`(sina-1)(2sinx-1)>=0`

`(y-1)(y-1/2)>=0`

`y in[-1,1/2]uu[1,oo)`

`sinx in[-1,1/2]uu{1}`

`sinx in[0,1/2]uu{1}`

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