Question

Solve the compound inequality. Graph the solution -2 ≤ 2x – 4 < 4

Answer 1

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

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

$2\ \textless \ 2x\ \textless \ 8$  $Simplify \ inequality$ 

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

$1\ \textless \ x\ \textless \ 4$ $= (1,4)$