91Ó°ÊÓ

Find the solution set for each equation. $$|x+1|+5=3$$

Find the solution set for each equation. $$|x+1|+6=2$$

Solve each linear inequality and graph the solution set on a number line. $$-3[7 x-(2 x-3)]>-2(x+1)$$

Graph each inequality. $$x \leq 0$$

Solve each compound inequality. Use graphs to show the solution set to each of the two given inequalities, as well as a third graph that shows the solution set of the compound inequality. Except for the empty set, express the solution set in interval notation. $$5(x-2)>15 \text { and } \frac{x-6}{4} \leq-2$$

raph the solution set of each system of inequalities or indicate that the system has no solution. $$\left\\{\begin{array}{l}3 x+6 y \leq 6 \\\2 x+y \leq 8\end{array}\right.$$

Solve each linear inequality and graph the solution set on a number line. $$6-\frac{2}{3}(3 x-12) \leq \frac{2}{5}(10 x+50)$$

Solve each compound inequality. Use graphs to show the solution set to each of the two given inequalities, as well as a third graph that shows the solution set of the compound inequality. Except for the empty set, express the solution set in interval notation. $$x-1 \leq 7 x-1 \text { and } 4 x-7<3-x$$

Graph the solution set of each system of inequalities or indicate that the system has no solution. $$\left\\{\begin{array}{l}x-y \geq 4 \\\x+y \leq 6\end{array}\right.$$

Solve each linear inequality and graph the solution set on a number line. $$\frac{2}{7}(7-21 x)-4>10-\frac{3}{11}(11 x-11)$$