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Solve the expression | x-2 | = (x-2) ....

Solve the expression | x-2 | = (x-2) .

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(i) `|x-2|= (x-2), if x-2 le 0 of or x ge 2 `
(ii) `| x+3 | =-x-3, if x+3 le 0 or x le -3`
(iii) `|x^2-x|=x^2-x, if x^2- x ge 0 `
or `x(x-1) ge 0 `
`rArr x in (-oo ,0] cup [1, oo)`
(iv) `|x^2 - x -2 |=2 + x - x^2`
or `x^2-x -2 le 0 `
or `(x-2)(x+1) le 0 `
`or -1 le x le 2 `
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