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x-1-1-lt-x-

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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 by mr 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 by bemath last updated on 06/Sep/20
santuyyy
$${santuyyy} \\ $$

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