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Solving Linear Inequalities

Solving Linear Inequalities

Fill in the blanks with $\lt, \le, \gt$ or $\ge$.

$x \gt 7$
$7$ $x$

$-4 \le x$
$x$ $-4$

$x \ge -8$
$-8$ $x$

$y \lt x$
$x$ $y$

Fill in the blanks with $\lt, \le, \gt$ or $\ge$.

$x+6 \lt 15$
$x$ $9$

$x-4 \gt 7$
$x$ $11$

$3x \le 18$
$x$ $6$

$\displaystyle \frac{x}{4} \ge 7$
$x$ $28$

Solve the following inequalities.

$2x+5 \gt 11$

$17 \ge 5x-3$

$4\left(x-3\right) \le 8$

$\frac{x+5}{7} \lt 2$

Fill in the blanks with $\lt, \le, \gt$ or $\ge$.

$-x+6 \lt 15$
$-x$ $9$
$x$ $-9$

$-x-4 \gt 7$
$-x$ $11$
$x$ $-11$

$-3x \le 18$
$x$ $-6$

$-\frac{x}{4} \ge 7$
$x$ $-28$

Solve the following inequalities.

$-2x+5 \gt 11$

$17 \ge -5x-3$

$4\left(-x-3\right) \le 8$

$\frac{-x+5}{7} \lt 2$

Solve the following inequalities.

$10-x\le 12$

$3\ge 8x-13$

$22<2\left(5x-4\right)$

$-2x-17\ge 3$

$9\ge 3\left(5-2x\right)$

$2\left(5-2x\right)\le -5$

$5x+6>x+18$

$4-3x\le 5-2x$

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

$\frac{4-5x}{3}\ge -2$