$6 \lt 2x$
$3$
$x$
$2x \lt 10$
$x$
$5$
$6 \lt 2x \lt 10$
$3$
$x$
$5$
$11 \le 4x+3$
$x$
$4x+3 \le 19$
$x$
$11 \le 4x+3 \le 19$
$x$
$6 \lt -2x$
$-3$
$x$
$-2x \lt 10$
$x$
$-5$
$6 \lt -2x \lt 10$
$-3$
$x$
$-5$
$11 \le -4x+3$
$x$
$-4x+3 \le 19$
$x$
$11 \le -4x+3 \le 19$
$x$
$11 \le 4x+3 \le 19$
$4x$
$x$
(subtract $3$)
(divide by $4$)
$11 \le -4x+3 \le 19$
$-4x$
$x$
(subtract $3$)
(divide by $4$ and reverse signs)
Solve the following.