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Problem 16

Find the solution set for each equation. $$2|3 x-2|=14$$

Problem 16

Solve each linear inequality and graph the solution set on a number line. $$\frac{3 x}{10}+1 \geq \frac{1}{5}-\frac{x}{10}$$

Problem 17

Graph each inequality. $$x \leq 2$$

Problem 17

Find the solution set for each equation. $$|6 y-2|+4=32$$

Problem 17

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. $$x-4 \leq 2 \text { and } 3 x+1>-8$$

Problem 17

Solve each linear inequality and graph the solution set on a number line. $$ 1-\frac{x}{2}>4 $$

Problem 18

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

Problem 18

Find the solution set for each equation. $$|3 y-1|+10=25$$

Problem 18

Solve each linear inequality and graph the solution set on a number line. $$7-\frac{4}{5} x<\frac{3}{5}$$

Problem 19

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. $$2 x>5 x-15 \text { and } 7 x>2 x+10$$

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