Question

Buna, cum se rezolva aceste inecuatii:
1. |2x-4|<0
2. |2x-4|≤0

Answer 1

1.nu se poate deoarece |a|>=0, oricare ar fi a E R
2.|2x-4|<=0
=> |2x-4|=0
=>2x-4=0
2x=4
=x=2

Answer 2

$1. \\ |2x-4|\ \textless \ 0 \quad (F) \quad deoarece modulul unui numar e intotdeauna \geq0 \\ \\ \Rightarrow \boxed{x \in \emptyset}\\ \\ 2. \\ |2x-4|\leq 0 \\ dar, stim ca \quad |2x-4| \geq0,\quad \forall x\in \mathbb_{R} \\ \\ \Rightarrow 0 \leq |2x-4| \leq 0 \Rightarrow |2x-4| = 0 \Rightarrow 2x-4 = 0 \Rightarrow 2x = 4 \Rightarrow \\ \\ \Rightarrow x = \dfrac{4}{2} \Rightarrow \boxed{x=2}$