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Problem 46

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. $$x \geq 3 \text { or } x<-1$$

Problem 46

Solve and graph the solution set on a number line. $$|3 x+5|<17$$

Problem 46

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 6 \\\x+y \geq 2 \\\1 \leq x \leq 2 \\\y \leq 3\end{array}\right.

Problem 47

Solve and graph the solution set on a number line. $$|x|>3$$

Problem 47

Write each sentence as a linear inequality in two variables. Then graph the inequality. The \(y\) -variable is at least 4 more than the product of \(-2\) and the \(x\) -var

Problem 47

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. $$3 x>12 \text { or } 2 x<-6$$

Problem 48

Solve and graph the solution set on a number line. $$|x|>5$$

Problem 48

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. $$3 x<3 \text { or } 2 x>10$$

Problem 48

Write each sentence as a linear inequality in two variables. Then graph the inequality. The \(y\) -variable is at least 2 more than the product of \(-3\) and the \(x\) -variable.

Problem 49

Write the given sentences as a system of linear inequalities in no variables. Then graph the system. The sum of the \(x\) -variable and the \(y\) -variable is at most 4 The \(y\) -variable added to the product of 3 and the \(x\) -variable does not exceed 6

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