Write the solution set of the inequation .

|x – 1| ≥ |x – 3|

Squaring both sides


|x – 1|2 ≥ |x – 3|2


(x – 1)2 ≥ (x – 3)2


x2 – 2x + 1 ≥ x2 – 6x + 9


4x – 8 ≥ 0


x ≥ 2


x ∈ [2, ∞)


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