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Magazine Problem 8
Find the solution set for each equation. $$\left|\frac{3 x-1}{5}\right|=1$$
Problem 8
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>2\( and \)x>4$$
Problem 9
Graph each inequality. $$\frac{x}{2}+\frac{y}{3}<1$$
Problem 9
Solve each compound inequality. Use graphs to show the solution set to each of the two given inequalities, as well as a third graph that shows the solution set of the compound inequality. Except for the empty set, express the solution set in interval notation. $$x \leq 5 \text { and } x \leq 1$$
Problem 9
Solve each linear inequality and graph the solution set on a number line. $$4(x+1)+2 \geq 3 x+6$$
Problem 10
Graph each inequality. $$\frac{x}{4}+\frac{y}{2}<1$$
Problem 10
Solve each linear inequality and graph the solution set on a number line. $$8 x+3>3(2 x+1)+x+5$$
Problem 10
Solve each compound inequality. Use graphs to show the solution set to each of the two given inequalities, as well as a third graph that shows the solution set of the compound inequality. Except for the empty set, express the solution set in interval notation. $$x \leq 6 \text { and } x \leq 2$$
Problem 11
Solve each linear inequality and graph the solution set on a number line. $$2 x-11<-3(x+2)$$
Problem 11
Solve each compound inequality. Use graphs to show the solution set to each of the two given inequalities, as well as a third graph that shows the solution set of the compound inequality. Except for the empty set, express the solution set in interval notation. $$x<2 \text { and } x \geq-1$$
