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Magazine Problem 39
Write an inequality with \(x\) isolated on the left side that is equivalent to the given inequality. $$a x+b>c ; \text { Assume } a<0$$
Problem 40
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. Express the solution set in interval notation. $$x>2 \text { or } x>4$$
Problem 40
Write an inequality with \(x\) isolated on the left side that is equivalent to the given inequality. $$\frac{a x+b}{c}>b ; \text { Assume } a>0 \text { and } c<0$$
Problem 40
Graph the solution set of each system of inequalities or indicate that the system has no solution. \left\\{\begin{array}{l}x+y>3 \\\x+y>-2\end{array}\right.
Problem 40
Solve and graph the solution set on a number line. $$|x|<5$$
Problem 41
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. Express the solution set in interval notation. $$x \leq 5 \text { or } x \leq 1$$
Problem 41
Graph the solution set of each system of inequalities or indicate that the system has no solution. \left\\{\begin{array}{l}x-y \leq 2 \\\x \geq-2 \\\y \leq 3\end{array}\right.
Problem 41
Solve and graph the solution set on a number line. $$|x-2|<1$$
Problem 42
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. Express the solution set in interval notation. $$x \leq 6 \text { or } x \leq 2$$
Problem 42
Solve and graph the solution set on a number line. $$|x-1|<5$$
