Chapter 9

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|p|>3$$

To graph an inequality like \(7 x+2 y<10\), which method, test point or slope- intercept, would you prefer? Why?

Solve. $$|5 h+7|=-5$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|5 a|>2$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|2 c| \geq 11$$

Graph using either the test point or slope-intercept method. \(y \leq \frac{1}{3} x-6\)

Solve. $$|4 p-3|=0$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|d+10| \geq 4$$

Solve. $$|5 b+3|+6=19$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|q-7|>12$$

Graph using either the test point or slope-intercept method. \(4 x+y<7\)

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|4 v-3| \geq 9$$

Graph using either the test point or slope-intercept method. \(9 x-3 y \leq 21\)

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|6 a+19|>11$$

Graph using either the test point or slope-intercept method. \(5 x-3 y \geq-9\)

Solve. $$\left|\frac{5}{4} k+2\right|+9=7$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|17-6 x|>5$$

Graph using either the test point or slope-intercept method. \(x>2\)

Objective 5 Solve the following equations containing two absolute values. $$|s+9|=|2 s+5|$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|1-4 g| \geq 10$$

Graph using either the test point or slope-intercept method. \(y \leq 4\)

Solve the following equations containing two absolute values. $$|j-8|=|4 j-7|$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|8 k+5| \geq 0$$

Graph using either the test point or slope-intercept method. \(3 x-4 y>12\)

Solve the following equations containing two absolute values. $$|3 z+2|=|6-5 z|$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$| 5 b-6 \geq 0$$

Graph using either the test point or slope-intercept method. \(6 x-y \leq 2\)

Solve the following equations containing two absolute values. $$|1-2 a|=|10 a+3|$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|z-3| \geq-5$$

The graphs of compound linear inequalities in two variables are given next. For each, find three points that are in the solution set and three that are not. \(y \geq \frac{4}{5} x+2\) and \(y<5\)

Solve the following equations containing two absolute values. $$\left|\frac{3}{2} x-1\right|=|x|$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|3 r+10|>-11$$

The graphs of compound linear inequalities in two variables are given next. For each, find three points that are in the solution set and three that are not. \(x>4\) and \(y \leq-\frac{2}{3} x+2\)

Solve the following equations containing two absolute values. $$|y|=\left|\frac{4}{7} y+12\right|$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|2 m-1|+4>5$$

Solve the following equations containing two absolute values. $$|7 c+10|=|5 c+2|$$

The graphs of compound linear inequalities in two variables are given next. For each, find three points that are in the solution set and three that are not. \(-x+4 y \geq 16\) or \(2 x+3 y \geq 15\)

Solve each inequality. Graph the solution set and write the answer in interval notation. $$|w+6|-4 \geq 2$$

The graphs of compound linear inequalities in two variables are given next. For each, find three points that are in the solution set and three that are not. \(5 x+2 y \leq-6\) or \(2 x+5 y \geq 10\)

Solve the following equations containing two absolute values. $$|4-11 r|=|5 r+3|$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$-3+\left|\frac{5}{6} n+\frac{1}{2}\right| \geq 1$$

Is \((3,5)\) in the solution set of the compound inequality \(x-y \geq-6\) and \(2 x+y<7 ?\) Why or why not?

Solve the following equations containing two absolute values. $$\left|\frac{1}{4} t-\frac{5}{2}\right|=\left|5-\frac{1}{2} t\right|$$

Solve each inequality. Graph the solution set and write the answer in interval notation. $$\left|\frac{3}{2} y-\frac{5}{4}\right|+9 \geq 11$$

Is \((3,5)\) in the solution set of the compound inequality \(x-y \geq-6\) or \(2 x+y<7 ?\) Why or why not?

Solve the following equations containing two absolute values. $$\left|k+\frac{1}{6}\right|=\left|\frac{2}{3} k+\frac{1}{2}\right|$$

Explain why \(|3 t-7|<0\) has no solution.

Graph each compound inequality. \(x \leq 4\) and \(y \geq-\frac{3}{2} x+3\)

Objective I Write an absolute value equation that means \(x\) is 9 units from zero.

Explain why \(|4 l+9| \leq-10\) has no solution.