Chapter 2

For Problems \(1-14\), solve each inequality and graph the solutions. \(|x|<5\)

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. \(\frac{2}{5} x+\frac{1}{3} x>\frac{44}{15}\)

For Problems \(1-8\), express the given inequality in interval notation and sketch a graph of the interval. \(x>1\)

Solve \(i=\) Prt for \(i\), given that \(P=\$ 300, r=8 \%\), and \(t=5\) years.

Solve each equation. \(0.14 x=2.8\)

For Problems \(1-40\), solve each equation. \(\frac{3}{4} x=9\)

For problems 1-50, solve each equation. \(3 x+4=16\)

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

Solve each of the inequalities and express the solution sets in interval notation. \(\frac{1}{4} x-\frac{4}{3} x<-13\)

Express the given inequality in interval notation and sketch a graph of the interval. \(x>-2\)

Solve \(i=P r t\) for \(i\), given that \(P=\$ 500, r=9 \%\), and \(t=3 \frac{1}{2}\) years.

Solve each equation. \(1.6 x=8\)

Solve each equation. \(\frac{2}{3} x=-14\)

Solve each equation. \(4 x+2=22\)

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

Solve each of the inequalities and express the solution sets in interval notation. \(x-\frac{5}{6}<\frac{x}{2}+3\)

Express the given inequality in interval notation and sketch a graph of the interval. \(x \geq-1\)

Solve \(i=P r t\) for \(t\), given that \(P=\$ 400, r=11 \%\), and \(i=\$ 132\).

Solve each equation. \(0.09 y=4.5\)

Solve each equation. \(\frac{-2 x}{3}=\frac{2}{5}\)

Solve each equation. \(5 x+1=-14\)

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

Solve each of the inequalities and express the solution sets in interval notation. \(x+\frac{2}{7}>\frac{x}{2}-5\)

Express the given inequality in interval notation and sketch a graph of the interval. \(x \geq 3\)

Solve \(i=P r t\) for \(t\), given that \(P=\$ 250, r=12 \%\), and \(i=\$ 120\).

Solve each equation. \(0.07 y=0.42\)

Solve each equation. \(\frac{-5 x}{4}=\frac{7}{2}\)

Solve each equation. \(7 x+4=-31\)

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

Solve each of the inequalities and express the solution sets in interval notation. \(\frac{x-2}{3}+\frac{x+1}{4} \geq \frac{5}{2}\)

Express the given inequality in interval notation and sketch a graph of the interval. \(x<-2\)

Solve \(i=\) Prt for \(r\), given that \(P=\$ 600, t=2 \frac{1}{2}\) years, and \(i=\$ 90\). Express \(r\) as a percent.

Solve each equation. \(n+0.4 n=56\)

Solve each equation. \(\frac{n}{2}-\frac{2}{3}=\frac{5}{6}\)

Solve each equation. \(-x-6=8\)

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

Solve each of the inequalities and express the solution sets in interval notation. \(\frac{x-1}{3}+\frac{x+2}{5} \leq \frac{3}{5}\)

Express the given inequality in interval notation and sketch a graph of the interval. \(x<1\)

Solve \(i=\) Prt for \(r\), given that \(P=\$ 700, t=2\) years, and \(i=\$ 126 .\) Express \(r\) as a percent.

Solve each equation. \(n-0.5 n=12\)

Solve each equation. \(\frac{n}{4}-\frac{5}{6}=\frac{5}{12}\)

Solve each equation. \(8-x=-2\)

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

Solve each of the inequalities and express the solution sets in interval notation. \(\frac{3-x}{6}+\frac{x+2}{7} \leq 1\)

Express the given inequality in interval notation and sketch a graph of the interval. \(x \leq 2\)

Solve \(i=\operatorname{Prt}\) for \(P\), given that \(r=9 \%, t=3\) years, and \(i=\$ 216\).

Solve each equation. \(s=9+0.25 s\)

Solve each equation. \(4 y-3=21\)

Solve each inequality and graph the solutions. \(|x-2|<4\)

Solve each of the inequalities and express the solution sets in interval notation. \(\frac{4-x}{5}+\frac{x+1}{6} \geq 2\)