itomath.com

Double Linear Inequalities

Double Linear Inequalities

Solve the following inequalities by filling in the blanks with $\lt, \le, \gt$ or $\ge$.

$6 \lt 2x$
$3$ $x$

$2x \lt 10$
$x$ $5$

$6 \lt 2x \lt 10$
$3$ $x$ $5$

Solve the following inequalities.

$11 \le 4x+3$
$x$

$4x+3 \le 19$
$x$

$11 \le 4x+3 \le 19$
$x$

Solve the following inequalities by filling in the blanks with $\lt, \le, \gt$ or $\ge$.

$6 \lt -2x$
$-3$ $x$

$-2x \lt 10$
$x$ $-5$

$6 \lt -2x \lt 10$
$-3$ $x$ $-5$

Solve the following inequalities.

$11 \le -4x+3$
$x$

$-4x+3 \le 19$
$x$

$11 \le -4x+3 \le 19$
$x$

Solve the following double inequalities.

$11 \le 4x+3 \le 19$
$4x$
$x$


(subtract $3$)
(divide by $4$)

$11 \le -4x+3 \le 19$
$-4x$
$x$


(subtract $3$)
(divide by $4$ and reverse signs)

Solve the following.

$11\ge x+7\ge 4$

$8<6x-4<20$

$6\le -\frac{2}{3}x\le 12$

$9<\frac{x}{4}-3<13$

$1\le 2-\frac{x}{3}\le 4$

$1<5-\frac{2x}{3}<7$

$3<\frac{2x-5}{7}<9$

$2\le \frac{2-3x}{7}\le 5$