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Solve sqrt(x-1)>sqrt(3-x)dot...

Solve `sqrt(x-1)>sqrt(3-x)dot`

Text Solution

Verified by Experts

`sqrt(x-1) gt sqrt(3-x)` is meaningful if `x-1 ge 0 " and " 3-x ge 0 `
or `1 le x le 3`
Also `sqrt(x-1) gt sqrt(3-x)`
Squaring ,we have `x-1 gt 3- x `
`rArr x gt 2`
Form (1) and (2) we have `2 lt x le 3`
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