solve the inequality
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x
2
−3x−x+3
x−1
<1
(x−3)(x−1)
(x−1)
<1{x
=1}
x−3
1
−1<0
x−3
1−x+3
<0
x−3
x−4
>0
xε(−∞,3)⋃(4,∞)
butx
=1
xε(−∞,1)⋃(1,3)⋃(4,∞)
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