Question

How do you explain -2≤2x-4<4

Answer 1

$-2\leq2x-4 < 4\ \ \ \ \ |add\ 4\\\\2\leq2x < 8\ \ \ \ |divide\ by\ 2\\\\1\leq x < 4$

$Answer:\boxed{1\leq x < 4\Rightarrow x\in(-\infty;\ 1]\ \cup\ (4;\ \ibfty)}$

Answer 2

$-2\ \textless \ 2x-4\ \textless \ 4$ 

$-2+4\ \textless \ 2x\ \textless \ 4+4$  $| Add \ 4 \ to \ the \ whole \ equation|$ 

$2\ \textless \ 2x\ \textless \ 8$ 

$1\ \textless \ x\ \textless \ \dfrac{8}{2}$   $|Divide \ the \ whole \ equation \ by \ 2|$

$1\ \textless \ x\ \textless \ 4$