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For `x in R ,` find all possible values of `|x-3|-2` (ii) `4-|2x+3|`

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We know that `|x-3| ge 0 AA x in R`
`implies|x-3|-2 ge -2`
`implies |x-3|-2 in [-2, oo)`
(ii) We know that `|2x+3| ge 0 AA x in R`
`implies -|2x+3|le 0`
`implies 4-|2x+3|le4`
or `4-|2x+3| in (-oo,4]`
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