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Question Number 112097 by bemath last updated on 06/Sep/20

      ∣∣x−1∣+1∣ < x

$$\:\:\:\:\:\:\mid\mid{x}−\mathrm{1}\mid+\mathrm{1}\mid\:<\:{x} \\ $$

Commented bymr W last updated on 06/Sep/20

∣x−1∣+1<x  ∣x−1∣<x−1  ⇒no solution, since ∣a∣≥a.

$$\mid{x}−\mathrm{1}\mid+\mathrm{1}<{x} \\ $$ $$\mid{x}−\mathrm{1}\mid<{x}−\mathrm{1} \\ $$ $$\Rightarrow{no}\:{solution},\:{since}\:\mid{a}\mid\geqslant{a}. \\ $$

Commented bybemath last updated on 06/Sep/20

santuyyy

$${santuyyy} \\ $$

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