91Ó°ÊÓ

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. $$2 x+1>4 x-3 \text { and } x-1 \geq 3 x+5$$

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

Find the solution set for each equation. $$|2 x-1|+3=3$$

Solve each linear inequality and graph the solution set on a number line. $$\begin{array}{l}3[3(x+5)+8 x+7]+5[3(x-6) \\\\-2(3 x-5)]<2(4 x+3)\end{array}$$

Solve each inequality and graph the solution set on a number line. Express the solution set in interval notation. $$6

Graph the solution set of each system of inequalities or indicate that the system has no solution. $$\left\\{\begin{array}{l}2 x-5 y \leq 10 \\\3 x-2 y>6\end{array}\right.$$

Solve each inequality and graph the solution set on a number line. Express the solution set in interval notation. $$7

Solve each linear inequality and graph the solution set on a number line. $$\begin{array}{l}5[3(2-3 x)-2(5-x)]-6[5(x-2) \\\\-2(4 x-3)]<3 x+19\end{array}$$

Graph the solution set of each system of inequalities or indicate that the system has no solution. $$\left\\{\begin{array}{l}2 x-y \leq 4 \\\3 x+2 y>-6\end{array}\right.$$

Find the solution set for each equation. $$|3 x-2|+4=4$$