Question

find the solution set of |x-1|>|x-3|

Answer 1

x>2 for the given question

as for x>3
x-1>x-3
-1>-3
which is always true

for 1<x<3
x-1>3-x
2x>4
x>2

for x<1
1-x>3-x
1>3
not possible

hence
x>2

Answer 2

x>2 is the answer......................................