Question

ecuatia | | x - 2 | - 3 | x | x - 1 | mai mic sau egal (nu exista semnul) cu 0
dau funda

Answer 1

$| (| x - 2 | - 3 |) (| x - 1 |) \leq 0$
Dar stim ca orice modul ≥ 0

$=\ \textgreater \ (| | x - 2 | - 3 | ) (| x - 1 |) = 0\\ =\ \textgreater \ (|x-2|-3)(x-1)=0$

=> x-1 sau |x-2|-3 este 0

Daca x-1 = 0 => x = 1

Daca |x-2|-3 = 0 => |x-2| = 3 => x ∈ {-1, 5}