Calcul-x-x-1-1-3-4-x-2-0-3-help-please-

Question Number 206150 by Samuel12 last updated on 08/Apr/24

Calcul ∣ x - α ∣ = ? ? ? ? ?

∙ x = - 1; α \in [- 1; - \frac{3}{4}]

∙ x = 2; α \in [0; 3] help please

Answered by Frix last updated on 08/Apr/24

∣ x - α ∣= {\begin{cases} x - α; x - α ⩾ 0 \\ - (x - α); x - α < 0 \end{cases}

∙ x = - 1 \land - 1 ⩽ α ⩽ - \frac{3}{4} \Rightarrow - \frac{1}{4} ⩽ x - α ⩽ 0

\Rightarrow ∣ x - α ∣= - (x - α)

∙ x = 2 \land 0 ⩽ α ⩽ 3 \Rightarrow - 1 ⩽ x - α ⩽ 2

\Rightarrow ∣ x - α ∣= {\begin{cases} x - α; 0 ⩽ α ⩽ 2 \\ - (x - α); 2 < α ⩽ 3 \end{cases}

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