Question

Solve the following linear inequality:
$\frac{8x-5}{2x+11}\ge 4$

Answer 1

Case (1) $\Rightarrow x>\frac{-11}{2}$

$\therefore 8x-5\ge 4(2x+11)$

$8x-5\ge 8x+44$

$-5\ge 44\Rightarrow$ Not true

Case (2) $\Rightarrow x<\frac{-11}{2}$

$\therefore 8x-5\le 4(2x+11)$

$-5\le 44\Rightarrow$ true

$\therefore x<\frac{-11}{2}$