`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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