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For x in R , find all possible values o...

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 `
`rArr |x-3| -2 le -2`
`rArr | x-3| -2 in [ -2 ,oo ) `
(ii) We know that `rArr - |2x +3 | le 0`
`rArr 4-|2x + 3 | le 4`
`or 4-|2x+ 3 | in ( -oo , 4)`
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