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The least positive value of x satisfying...

The least positive value of `x` satisfying the equation `|x+1|-|x|+3|x-1|+2|x-2|= x+2` is

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The correct Answer is:
1

The least positive value …………
For `0 le x le 1`
`x +1-x-3(x-1)-2(x-2)= x+2`
`x=1`
Hence least positive value of `x = 1`
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