Chapter 2

Express the given inequality in interval notation and sketch a graph of the interval. \(x \leq 0\)

Solve \(i=\operatorname{Prt}\) for \(P\), given that \(r=8 \frac{1}{2} \%, t=2\) years, and \(i=\$ 204\).

Solve each equation. \(s=15+0.4 s\)

Solve each equation. \(\frac{2 n}{5}-\frac{n}{6}=\frac{-7}{10}\)

Solve each equation. \(6 y-7=41\)

Solve each inequality and graph the solutions. \(|x+2| \leq 4\)

Solve each of the inequalities and express the solution sets in interval notation. \(\frac{x+3}{8}-\frac{x+5}{5} \geq \frac{3}{10}\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \((-\infty, 4)\)

Solve \(A=P+\) Prt for \(A\), given that \(P=\$ 1000\), \(r=12 \%\), and \(t=5\) years.

Solve each equation. \(s=3.3+0.45 s\)

Solve each equation. \(\frac{a}{4}-1=\frac{a}{3}+2\)

Solve each equation. \(3 x-4=15\)

Solve each inequality and graph the solutions. \(|x+1| \leq 1\)

Solve each of the inequalities and express the solution sets in interval notation. \(\frac{x-4}{6}-\frac{x-2}{9} \leq \frac{5}{18}\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \((-\infty,-2)\)

Solve each equation. \(s=2.1+0.6 s\)

Solve each equation. \(\frac{3 a}{7}-1=\frac{a}{3}\)

Solve each equation. \(5 x+1=12\)

Solve each inequality and graph the solutions. \(|x+2|>1\)

Solve each of the inequalities and express the solution sets in interval notation. \(\frac{4 x-3}{6}-\frac{2 x-1}{12}<-2\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \((-\infty,-7]\)

Solve \(A=P+\operatorname{Prt}\) for \(r\), given that \(A=\$ 1372\), \(P=\$ 700\), and \(t=12\) years. Express \(r\) as a percent.

Solve each equation. \(0.11 x+0.12(900-x)=104\)

Solve each equation. \(\frac{h}{4}+\frac{h}{5}=1\)

Solve each equation. \(-4=2 x-6\)

Solve each inequality and graph the solutions. \(|x+1|>3\)

Solve each of the inequalities and express the solution sets in interval notation. \(\frac{3 x+2}{9}-\frac{2 x+1}{3}>-1\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \((-\infty, 9]\)

Solve each equation. \(0.09 x+0.11(500-x)=51\)

Solve each equation. \(\frac{h}{6}+\frac{3 h}{8}=1\)

Solve each equation. \(-14=3 a-2\)

Solve each inequality and graph the solutions. \(|x-3| \geq 2\)

Solve each of the inequalities and express the solution sets in interval notation. \(0.06 x+0.08(250-x) \geq 19\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \((8, \infty)\)

Solve each equation. \(0.08(x+200)=0.07 x+20\)

Solve each equation. \(\frac{h}{2}-\frac{h}{3}+\frac{h}{6}=1\)

Solve each equation. \(-6 y-4=16\)

Solve each inequality and graph the solutions. \(|x-2| \geq 1\)

Solve each of the inequalities and express the solution sets in interval notation. \(0.08 x+0.09(2 x) \geq 130\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \((-5, \infty)\)

Solve each equation. \(0.07 x=152-0.08(2000-x)\)

Solve each equation. \(\frac{3 h}{4}+\frac{2 h}{5}=1\)

Solve each equation. \(-8 y-2=18\)

For Problems \(15-54\), solve each equation and inequality. \(|x-1|=8\)

Solve each of the inequalities and express the solution sets in interval notation. \(0.09 x+0.1(x+200)>77\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \([-7, \infty)\)

Use the formula \(A=\frac{1}{2} h\left(b_{1}+b_{2}\right)\) and complete the following chart. $$ \begin{array}{cccccccc} \hline \mathbf{A} & 98 & 104 & 49 & 162 & 16 \frac{1}{2} & 38 \frac{1}{2} & \text { square feet } \\ \hline \boldsymbol{h} & 14 & 8 & 7 & 9 & 3 & 11 & \text { feet } \\ \hline \boldsymbol{b}_{1} & 8 & 12 & 4 & 16 & 4 & 5 & \text { feet } \\ \hline \boldsymbol{b}_{2} & ? & ? & ? & ? & ? & ? & \text { feet } \\ \hline \end{array} $$

Solve each equation. \(0.12 t-2.1=0.07 t-0.2\)

Solve each equation. \(\frac{x-2}{3}+\frac{x+3}{4}=\frac{11}{6}\)

Solve each equation. \(4 x-1=2 x+7\)